Use the table to answer the question.

Question

x y
−3 0
−2 3
−1 6
Write the equation of the line in slope-intercept form.

(1 point)

Answer 1

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

To find the slope, we can use the formula:

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

Using the points (-3,0) and (-2,3):

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

Now that we have the slope (m = 3), we can plug it into the equation:

y = mx + b

Using the point (-3,0):

0 = 3(-3) + b
0 = -9 + b
b = 9

Now we have the slope (m = 3) and the y-intercept (b = 9), so the equation of the line in slope-intercept form is:

y = 3x + 9