Question

Put the following equation of a line into slope-intercept form, simplifying all

Answer 1

4y=5x+4
Divid by 4 to make slop intercept form
Y=5/4y +1
Slop =5/4

Answer 2

Answer:

$\boxed {\boxed {\sf y= \frac{5}{4}x+1}}$

Step-by-step explanation:

We are given the equation of a line and asked to put it into slope-intercept form.

Slope-intercept form is:

$y=mx+b$

Where:

• m= slope
• b= y-intercept

In order to put the equation into slope-intercept form, we have to isolate the variable y by performing the inverse operation.

$5x-4y= -4$

5x is being added to -4y. The inverse of addition is subtraction, so subtract 5x from both sides of the equation.

$5x-5x-4y=-4-5x$

$-4y=-4-5x$

The variable y is being multiplied by -4. The inverse of multiplication is division. Divide both sides of the equation by -4.

$\frac {-4y}{-4}=\frac{-4-5x}{-4}$

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

$y=1+\frac{5}{4}x$

Rearrange the equation.

$y= \frac{5}{4}x+1$

The fractions are completely simplified, so this is our final answer.

The equation of the line in slope-intercept form is $\bold {y= \frac{5}{4}x+1}}$.

The slope is 5/4 and the y-intercept is 1.