Question

Here’s a graph of a linear function. Write the equation that describes that function.

Answer 1

y = 5x - 5

Explanation:

It appears that the graph intersects the y-axis at (0, -5). This point is the y-intercept of the line.

As we move from (0, -5) to the point (2, 5), x increases by 2 and y increases by 10. Thus, the slope of the line through these two points is

m = rise / run = 10 / 2 = 5.

The slope-intercept form of the equation of a straight line, y = mx + b, becomes y = 5x - 5