Question

Use the graph or table to write a linear function that relates y to x.

X -1 0 1 2
y -4 0 4 8

Answer 1

y = 4x

Explanation:

From the table, using the coordinate points (-1, -4) and (0,0)

Get the slope;

m = y2-y1/x2-x1

m = 0-(-4)/0-(-1)

m = 4/1

m = 4

Get the intercept b;

Substitute m = 4 and (0,0) into y = mx+c

0 = 4(0) + c

c = 0

Get the required equation;

y = mx+b

y = 4x + 0

y = 4x

Hence the required equation is y = 4x