Question

Finding the slope in y- intercept form 2×+7y=21

Answer 1

To find the slope from an equation, solve the equation for y.
The equation will have the form y = mx + b, called the slope-intercept form.
Then m = slope.

Let's solve your equation for y.


`2x + 7y = 21`

Subtract 2x from both sides.


`7y = -2x + 21`

Divide both sides by 7.


`y = -(2)/(7) x + (21)/(7)`


`y = -(2)/(7) x + 3`

Now compare the equation above to y = mx + b.
m is the number that multiplies x, and it is the slope.


`m = -(2)/(7)`