graphing equations practice

Question

unit 3 lesson 7

use the image to answer the question

(0,-2), (3,0)

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 find the slope and the y-intercept.

The slope (m) can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Using the given points (0, -2) and (3, 0), the slope (m) can be calculated as:

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

The y-intercept (b) can be found by substituting the coordinates of any point on the line and the slope into the slope-intercept form equation: y = mx + b. Let's use the point (0, -2):

-2 = (2/3)(0) + b
-2 = b

So, the equation of the line in slope-intercept form is:

y = (2/3)x - 2