Question

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

Answer 1

Answer:

slope= -¾

$y - intercept = 2 \frac{1}{4}$

Step-by-step 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.

$y = - \frac{3}{4} x + \frac{9}{4}$

$y = - \frac{3}{4} x + 2 \frac{1}{4}$

$slope = - \frac{3}{4}$

$y - intercept = 2 \frac{1}{4}$