Question

Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.

Answer 1

slope= -¾

`y - intercept = 2 (1)/(4)`

Explanation:

3x +4y= 9

Let's rewrite the equation into the form of y= mx +b (known as slope-intercept form), where m is the slope and b is the y-intercept.

Keep the y term on the left-hand side of the equation and move all the other terms to the right-hand side.

4y= -3x +9

For the coefficient of y to be 1, divide both sides of the equation by 4.

`y = - (3)/(4) x + (9)/(4)`

`y = - (3)/(4) x + 2 (1)/(4)`

`slope = - (3)/(4)`

`y - intercept = 2 (1)/(4)`