Question

5y-100x=25 what are the slope and y-intercept?

Answer 1

5y - 100x = 25

5y = 100x + 25

y = 20x + 5

Therefore, the slope is 20 and the y-intercept is 5.

Answer 2

The slope for this line is m = 20 and the y-intercept is b = 5

Explanation:

In order to identify the values of the slope and y-intercept, the idea is to write the line equation in slope-intercept form that is y = mx+b, where m stands for the slope and b stands for the y-intercept.

Getting into slope-intercept form.

`5y-100x=25`

Since 100x has a - sign in front, we can apply both sides +100x in order to move 100x to the other side of the equation.

`5y-100x+100x=25+100x`

`5y=100x+25`

Then since we have a multiplication operation between 5 and y, we can apply the opposite operation which is division, in order to move that 5 to the other side.

`\cfrac{5y}5=\cfrac{100x+25}{5}`

Simplifying we get

`y= 20x+5`

By inspection, we can compare with the formula y = mx+b. So the slope of the line equation is m = 20 and the y-intercept is b = 5.