Question

What do the y intercept and the slope mean in the context of the example problem y=-4x+20

Answer 1

Therefore,

`Slope = -4\\\\y-intercept=20`

Explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

There are two intercepts:

x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.

y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.

Given:

`y=-4x+20`

We have General Equation for POINT-SLOPE form for a line is given as

`y=mx+c`

where,

m = Slope of Line

c = y-intercept

On Comparing the given Equation with Point-Slope form we have

`m = Slope = -4\\\\c=20`

Therefore,

`Slope = -4\\\\y-intercept=20`