What is the equation of the line with an X intercept of and ay intercept of 1?

What is the equation of the line with an X intercept of and ay intercept of 1?

Since the x-intercept is -2, the point (-2,0) lies on the graph of the line. Since the y-intercept is 1, the point (0,1) also lies on the line. Therefore, the slope, m, is equal to (1-0) / (0-(-2)) = 1/2. Equation of line: y = mx+b, where b is the y-intercept.

What is the formula for finding x and y-intercepts?

If the equation is in standard form:ax+by=c then you just set x equal to 0 to find the y intercept and set y equal to 0 to find the x intercept.

Does every line have both an X intercept and a Y intercept?

Not all lines have an x- and y-intercept. This line does not cross the x-axis. Similarly, the line x=2 is a vertical line which does not cross the y-axis.

What is the X intercept of a function?

The x -intercepts of a function are the point(s) where the graph of the function crosses the x -axis. The x -intercept is often referred to with just the x -value.

Can a function have more than one Y-intercept?

In answering these, remember that by definition, a function can only have one output (y-value) for each input (x-value). A function having more than one y-intercept would violate this, since it would mean that there are two outputs for x=0. Therefore, it is not possible for a function to have more than one y-intercept.

How do you do slope-intercept form?

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

What is the Y-intercept in an equation?

The y -intercept of a graph is the point where the graph crosses the y -axis. When the equation of a line is written in slope-intercept form ( y=mx+b ), the y -intercept b can be read immediately from the equation. Example 1: The graph of y=34x−2 has its y -intercept at −2 .

How do you find the Y-intercept in an equation?

To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’.

How do you write an equation in slope intercept form given two points?

Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

How do you find the Y-intercept when given two points?

Steps

1. Calculate the slope from 2 points. For Example, Two points are (3, 5) and (6, 11)
2. Substitute the slope(m) in the slope-intercept form of the equation.
3. Substitute either point into the equation. You can use either (3,5) or(6,11).
4. Solve for b, which is the y-intercept of the line.
5. Substitute b, into the equation.

What is the Y-intercept in standard form?

Similarly, any y-intercept will have an x coordinate of 0. Using the standard form of an equation we can easily find the intercepts. To find the x-intercept, we set y=0 and solve for x. To find the y-intercept, we set x=0 and solve for y.

How do you find standard form with slope and y-intercept?

The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept.

What is the equation of the line if its slope is 3/4 and Y intercept is 5?

Therefore required equation of line is y=3x+5.

What is the Y intercept of Y 4x?

Using the slope-intercept form, the y-intercept is 0 .

What is the Y intercept of Y 3x 6?

You probably already know that the y-intercept is the value of y when x=0. In this equation, is it -6. Let’s add six to both sides as we proceed to isolate x… so for y=3x-6, y=0, x=2 is the x-intercept.

What is the Y-intercept of Y 3x?

What is the slope and y-intercept of the line y 3x 6?

The slope is −3 and the y-intercept is 6 .

What’s the slope of y =- 3x 6?

Using the slope-intercept form, the slope is 3 .

What is the slope of Y 3x?

1 Answer. The slope is 3, the y-intercept is 0, and the x-intercept is 0.

What is the slope of the line whose equation is y 2x 4?

Using the slope-intercept form, the slope is 2 .

What is the standard form of Y =- 2x 5?

So the problem “y=2x+5” is in standard form and no modification is necessary. For a parabolic equation, the standard form is y = a(x – h)^2 + k, from which direction (polarity of “a”) and axis of symmetry (value of “h”), etc. may be determined by inspection.

Which is a graph of the equation y 2x 4?

We can see that our given equation is slope-intercept form of equation , where, m = Slope of line, b = The y-intercept or initial value. So, the graph for our given equation will have a slope of 2 and it will y-axis at y=-4.

What is the slope and y intercept of y 2x 1?

1 Answer. The slope, m , is 2 , and the y-intercept is −1 .

What is the slope and y-intercept of y =- 3x 4?

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is −3 .

What is the Y-intercept of y 5x 12?

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is −12 .

Is y 2x 1 a linear equation?

Example: y = 2x + 1 is a linear equation: Check for yourself that those points are part of the line above!

What is the Y-intercept of the line y 2x 1?

Using the slope-intercept form, the y-intercept is −1 .

Is Y =- 5 a linear function?

1 Expert Answer No. All linear functions can be written in the form y = mx + b, where m is the slope and b is the y-intercept (slope-intercept form). This function, y = 5/x, is a hyperbola, with a vertical asymptote at x = 0 and horizontal asymptote at y = 0.