# Question Video: Finding the Slope and π¦-Intercept of a Linear Function Mathematics • 8th Grade

Calculate the slope π and the π¦-intercept π for the function 5π¦ = 10π₯ + 30.

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### Video Transcript

Calculate the slope π and the π¦-intercept π for the function five π¦ equals 10π₯ plus 30.

If we can get an equation into slope intercept form, where π¦ is isolated and itβs equal to ππ₯ plus π, π is your slope and π is your π¦-intercept.

So looking at the equation we have, weβre almost there. We just need to get π¦ by itself. And five is being multiplied to π¦. So in order to get rid of five, we need to divide by five. So we would need to divide by five to both sides of our equation. On the left-hand side, the fives will cancel. And on the right-hand side, we need to take 10π₯ and divide by five, and 30 divide by five because weβre dividing the entire right side by five.

It can also be written like this. So weβre again gonna take 10π₯, divide by five, and 30, and divide by five. 10π₯ divided by five is two π₯, and 30 divided by five is six. So now we are in slope intercept form, π¦ equals ππ₯ plus π, where π is two, also known as our slope, and six is π, our π¦-intercept.

Again, our slope π is equal to two. Or, that can be written as two over one because usually a slope is written as a fraction because slope is rise over run. And the π¦-intercept, π, is equal to six.