unit 3 lesson 7

Question

graphing equations practice

use the image to answer the question
(0,2) (1-1)

write the equation of the line in slope intercept form.

Answer 1

To write the equation of the line in slope-intercept form, we need to find the values of the slope (m) and the y-intercept (b).

From the given coordinates (0,2) and (1,-1), we can calculate the slope (m) using the formula:

m = (change in y)/(change in x)

m = (-1 - 2)/(1 - 0) = -3/1 = -3

Now let's use the slope-intercept form equation: y = mx + b, where m is the slope and b is the y-intercept.

Using the coordinates (0,2), we can substitute these values into the equation:

2 = (-3)(0) + b

This simplifies to:
2 = 0 + b
2 = b

So the equation of the line in slope-intercept form is:
y = -3x + 2