Question

For the equation 4x+6y+24=0 find:

A)the equation in the slope intercept form
B) The X and Y intercepts

Answer 1

x-intercept: -6 (-6,0 if you need full coordinates)

y-intercept: -4 (0,-4 for full coordinates)

Explanation:

I'm in a rush but ask if you need steps

Answer 2

a) y = -(2/3)x - 4

b) x-intercept = -6

y-intercept = -4

Explanation:

Slope intercept form is

y = mx + b

4x + 6y + 24 = 0

Subtract 4x + 24 from both sides

6y = -4x - 24

Divide both sides by 6

y = -(2/3)x - 4

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X intercept

at the x intercept y = 0

0 = (-2/3)x - 4

add (2/3) x to both sides

(2/3)x = - 4

Multiply both sides by 3/2

x = -12/2

x = -6

----------------------------

Y intercept

at the y-intercept x = 0

y = -(2/3)0 - 4

y =-4