How do you find the slope and intercept of 8x + 4y = -96?

2 Answers
May 6, 2016

m=-2 ,x-intercept=-12
y-intercept=-24

Explanation:

8x+4y=-96
Dividing both sides by 4 we have
2x+y=-24
=>y=-2x-24
Comparing this with slope imtercept form y=mx+c .where m is the slope c is intercept from y-axis
Slope=-2 and y-interceptc=-24

x-intercept can be had by putting y=0 in the equation

0=-2x-24=>x=-12
So x-intercept=-12

May 6, 2016

Slope = -2

y-intercept is -24 and the point is (0,-24)

x-intercept is -12 and the point is (-12,0)

Explanation:

We can see that 4 is a factor common to all the terms in the given equation.

4xx2x + 4y = -24 xx 4

=> 4(2x+y) = -24 xx 4

Divide both sides by 4:

[4(2x+y)]/4 = (-24 xx 4)/4

=> 2x+y = -24

This can also be written as

y = -2x-24

First, we will find the slope

The equation of a line is of the form color(red)(y=mx+c)

Where, m is the slope of the line and c is the y-intercept.

Comparing y=mx+c to the given equation, y = -2x-24

m=-2 and c=-24

=> Slope = -2 and y-intercept = -24

The y-intercept is the point where the line cuts the y-axis. i.e. the point when x=0.

Therefore, the y-intercept is the point (0,-24).

Next, we find the intercepts

We have already found the y-intercept above.

The x-intercept is the point where the line cuts the x-axis. i.e. to find the point when y=0.

Pretty simple.

Here is a step-by-step to work out the x-intercept.

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The x-intercept is the point (-12,0).