Question

What is an equation for the linear relationship in slope-intercept form?
y = ? x + ?

Answer 1

An equation of the linear relationship in slope interception form can be y=4x+6

Answer 2

y = -4x + 5

Explanation:

y = mx + b

From the graph, we see the line intersects the y-axis at 5, so the y-intercept, b, is 5.

y = mx + 5

slope = m = rise/run

rise = up and down

run = left and right

We go up 4 units from the lower point to the upper point. That is a rise of 4 units. Then we go left 1 unit. That is a run of -1.

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

y = mx + 5

y = -4x + 5