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Find the slope and the y-intercept of the line.

- 3x - 4y= -20
Write your answers in simplest form.

Find the slope and the y-intercept of the line. - 3x - 4y= -20 Write your answers-example-1

2 Answers

1 vote

Answer:

Slope:
\displaystyle-(3)/(4)

Y-intercept: 5

Explanation:

Linear equations are typically organized in slope-intercept form:
y=mx+b, where m is the slope and b is the y-intercept.


-3x-4y=-20

To find the slope and y-intercept of the given line, rearrange the equation into slope-intercept form. We can do this by isolating y.

Add 3x to both sides:


-3x-4y+3x=-20+3x\\-4y=3x-20

Divide both sides by -4:


y=\displaystyle -(3)/(4) x+5

Now, we can identify
\displaystyle-(3)/(4) to be in place of m, the slope, and 5 to be in place of b, the y-intercept. Here is a comparison:


y=\displaystyle -(3)/(4) x+5


y=mx+b

I hope this helps!

User Waylander
by
9.1k points
3 votes

Answer:

The slope is -3/4 and the y intercept is 5

Explanation:

- 3x - 4y= -20

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

Solve for y

Add 3x to each side

- 3x - 4y+3x=3x -20

-4y = 3x-20

Divide by -4

-4y/-4 = 3x/-4 -20/-4

y = -3/4 x+5

The slope is -3/4 and the y intercept is 5

User The Hog
by
7.4k points

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