What is the equation of the line that passes through 0 2?
You can use either (x,y) point you want..the answer will be the same: (1,0). y=mx+b or 0=-2 × 1+b, or solving for b: b=0-(-2)(1).
What is an equation of the line that passes through points 0 0 and 5 2 <UNK>?
The equation format for a straight line is y = mx + b, where m is the slope and b is the y-intercept, the value of y at x = 0.
What is an equation of the line that passes through the points 6 0 and (- 1 7?
So, the equation is: y = x – 6. Hope this helps!
What is the slope of the line that crosses through points 0 0 and 1 2?
The correct answer is m = 2/1 because they first point it reaches is (1,2) and so you insert those numbers (x,y) into the rise and run equation (y/x) and get the answer 2/1. Hope this helps!
What does the slope of the line represent?
In other words, the slope of the line tells us the rate of change of y relative to x. If the slope is 2, then y is changing twice as fast as x; if the slope is 1/2, then y is changing half as fast as x, and so on. In other words, if the line is near vertical then y is changing very fast relative to x.
How do you interpret the slope of an equation?
In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the “slope-intercept form”.
How do you write a linear equation from a word problem?
Writing Systems of Linear Equations from Word Problems
- Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find.
- Translate the problem to an equation. Assign a variable (or variables) to represent the unknown. Clearly state what the variable represents.
- Carry out the plan and solve the problem.
What is an example of a linear word problem?
The word problem may be phrased in such a way that we can easily find a linear function using the slope-intercept form of the equation for a line. Example 1: Hannah’s electricity company charges her $0.11 per kWh (kilowatt-hour) of electricity, plus a basic connection charge of $15.00 per month.
How do you write an equation for a linear function?
To write a linear function, you need two pieces of information: the slope and the y-intercept. Once you have determined these two variables, you can substitute them in for m and b in the slope-intercept form y=mx+b.