Write the slope-intercept form of the equation of the line through the given two points of the line through (0, 4) and (4, 0)

Question

I can’t figure this out.

Answer 1

There are a few ways to figure this out. Here is one.

Realize that the point (0,4) is the y-intercept, so in the slope-intercept form (y = mx + b) , b = 4.

To find the slope of the line through those points use the formula for the slope containing two given points.

m = [y₂- y₁]/[x₂ - x₁] = [4 - 0] / [0 - 4] = 4/-4 = -1.

So,

y = -1x + 4

Or

y = -x + 4

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