Question

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

Answer 1

Answer:

Therefore,

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

Step-by-step 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,

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