slope and intercept

Question

What is the slope and y intercept of 7x-4y=-12

Answer 1

7X - 4Y = -12

-4Y = -7X - 12

Y = 7/4 X + 3

 

7/4 is the slope

3 is the intercept

Answer 2

Solve for y to put the equation in slope-intercept form y = mx + b, then the slope is m and the y intercept is b.  

 

Subtract 7x from each side to get 

 

-4y = -7x - 12

 

Divide each side by -4 to get 

 

y = (7/4)x + 3 

 

So the slope is 7/4 and the y intercept is 3