Question

Find the value of k so that the graph of 2y-2= 1/4kx has a slope of 1/2.

k=?

Answer 1

`k=4`

Explanation:

The slope-intercept form of a linear equation is expressed as:
`y=mx+b`

• m = slope
• b = y-intercept

It's very convenient to rewrite the equation in this form so we can find the slope.

We have the initial equation of:

`2y-2=(k)/(4)x`

Add 2 to both sides

`2y=(k)/(4)x+2`

Divide both sides by 2

`y=(k)/(8)x+1`

Now we have the equation in slope-intercept form, which means the coefficient of "x" is our slope!

Now we know:

`m=(k)/(8)`

Since we're given that the slope is 1/2, we substitute it for "m"

`(1)/(2)=(k)/(8)`

Multiply both sides by 8

`(8)/(2)=k`

simplify

`4=k`