Question

graphing equations unit 3 lesson 7
use the image to answer the question

(0,2) (1,-1)

write the equation of the line in slope-intercept form.

Answer 1

To find the equation of the line in slope-intercept form, we need to determine the slope and y-intercept.

First, let's find the slope (m). We can use the formula:
m = (y2 - y1) / (x2 - x1)

Using the coordinates (0,2) and (1,-1):
m = (-1 - 2) / (1 - 0)
m = -3 / 1
m = -3

Next, let's find the y-intercept (b). The y-intercept is the value of y when x = 0. From the given coordinates, we can see that the y-intercept is 2.

Now, we can write the equation in slope-intercept form:
y = mx + b
y = -3x + 2

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