Question

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

Answer 1

y = -1/4x - 1

Explanation:

The equation of a line is y = slope*x + y-intercept

Find the slope by picking two points shown on the graph and doing (y1-y2)/(x1-x2): (4, -2) & (-8, 1) = (-2-1)/(4-(-8) = -3/12 = -1/4 so the slope is 4.

Find the y-intercept by seeing where the line crosses the y-axis: y= -1

So therefore, y = -1/4x - 1

Answer 2

x+2y=0

Explanation: