Question

Find the slope and the y-intercept of the line.
- 3x - 4y= -20
Write your answers in simplest form.

Answer 1

Answer:

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

Step-by-step 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

Answer 2

Answer:

Slope: $\displaystyle-\frac{3}{4}$

Y-intercept: 5

Step-by-step 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:

$y=\displaystyle -\frac{3}{4} x+5$

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

$y=\displaystyle -\frac{3}{4} x+5$

$y=mx+b$

I hope this helps!