Question

Find the slope of the graph: 4x - 16y = 20.
Please explain the steps!

Answer 1

Slope is
`(1)/(4)`

Explanation:

Rearranging the equation:

`4x - 20 = 16y`

The coefficient of y needs to be '+1' for the above equation to be considered as the slope-intercept form:

Dividing both sides of the equation by '16':

`(16)/(16)y = (1)/(16)(4x -20)`

`y = (4)/(16)x - (20)/(16)`

Divide the numerator and denominator present in the coefficient of x by the Highest Common Factor '4'. Also divide the numerator and denominator present in the coefficient of 'non-x' term by the Highest Common Factor '4':

`y = (1)/(4)x - (5)/(4)`

The simplified form of the slope-intercept of the equation has been achieved. The coefficient of x is the slope of the graph:

m = Slope of graph =

Answer 2

Answer: y = 1/4x + -5/4

Explanation:

Step 1: add -4x to both sides

step 2: Divide both sides by -16.