Question

8x+4y= -4
what is the slope and y intercept of the line

Answer 1

y = -2x - 1 ; slope = -2, y-intercept = (0, -1)

Explanation:

to get the slope and y intercept, you need to put the equation into slope-intercept form: y = mx + b

the term mx is the slope of the line, and b is the y-intercept

to do this, you need to solve for y, so get y by itself by subtracting 8x from the left side

8x + 4y = -4

-8x. -8x

4y = -8x - 4

divide both sides by 4 to get y alone

4y/4 = y

-8x/4 = -2x

-4/4 = -1

y = -2x - 1 is the final equation

the slope of the line is -2 (also can be said as -2/1), and the line intercepts the y-axis at (0,-1)

Answer 2

The y-intercept is y=-1

the slope is m=-2

Explanation:

The general equation of the line is:

y = mx +b, where "m" represents the slope.

In this case, we need to divide the whole equation by 4 in order to get an equation similar to the general equation of the line:

8x + 4y = -4 , dividing the whole equation by 4 we get:

2x + y = -1 , solving for y we have: y = - 2x -1. Then the slope is m=-2.

To find the y-intercept we need to make x=0

y = -2(0) - 1 = -1

The y-intercept is y=-1