Question

13. The table represents some points of a linear function.

X
-4
-2
-1
1
2
у
-2
-10
-14
-22
-26
Which equation represents the same relationship?
a.
y=-4x - 18
c.
y = 4x - 2
b. y=-4x-2
d. y - 4x - 18

Answer 1

y=-4x-18

Explanation:

To find the slope of the function, you need two points in order, the first point having its x and y coordinates labeled as x1 and y1, and the second point having its coordinates labeled as x2 and y2. then, use the equation for slope, which is m=(y2-y1)/(x2-x1), and plug in the numbers. You should get m=(-10+2)/(-2+4)= -8/2= -4.

Then, use the slope and a point on the graph, and plug it into point slope form, which is y-y1=m(x-x1). No matter what point you use, you should get the same thing. I used the point (-2, -4). Using this point, the steps to arrange the equation in slope intercept form is: y+2=-4(x+4)=> y+2=-4x-16 => y=-4x-18.