Question

13. Model the function rule y = -2x - 3 with a table of values. Show your work.

14. For the function rule y = -2x - 3, provide the x-y coordinates of the y-intercept and the x-intercept.

Answer 1

13. to make our table, we sub in any value for x and solve for y

y = -2x - 3

lets say x = 0
y = -2(0) - 3
y = -3....so when x = 0, y = -3

lets say x = 1
y = -2(1) - 3
y = -2 - 3
y = -5...so when x = 1, y = -5

lets say x = 2
y = -2(2) - 3
y = -4 - 3
y = -7....so when x = 2, y = -7

so ur table will look like this...

x 0 1 2
----
y -3 -5 -7

u can find more points if u need to by just repeating the steps I did
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14. to find the x intercept, sub in 0 for y and solve for x

y = -2x - 3
0 = -2x - 3
2x = -3
x = -3/2...so the x intercept is (-3/2,0)

to find the y intercept, sub in 0 for x and solve for y

y = -2x - 3
y = -2(0) - 3
y = -3....so ur y intercept is (0,-3)