What is the formula of a line?

What is the formula of a line?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

What does equation of a line mean?

Definition of the equation of a straight line: The equation of a straight line is the common relation between the x-coordinate and y-coordinate of any point on the line. Note: The coordinates of any point on the straight line satisfy the equation of the line.

What does the M stand for in Y MX B?

slope

What does equation of a line look like?

The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b). When you know the slope and the y-intercept of a line you can use the slope-intercept form to immediately write the equation of that line.

What does the sign of the slope tell you about a line?

The sign of the slope tells you if a line is ascending or desc⁄ending. A positive slope tells you that a line travels up and to the “right” like this, ⁄, (uphill from left to right). A negatively sloping line travels the opposite way, like this, \ (downhill from left to right).

How do you determine which line is steeper?

When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line, . The greater the slope, the steeper the line. The next example shows a line with a negative slope.

How do you know if a line is positive or negative?

If the line is sloping upward from left to right, so the slope is positive (+). If the line is sloping downward from left to right, so the slope is negative (-).

Is the slope of a horizontal line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

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