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.

$y = -\dfrac{2}{7} x + \dfrac{21}{7}$

$y = -\dfrac{2}{7} x + 3$

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

$m = -\dfrac{2}{7}$