4y – 4 = -3x – 11

add 4 to both

4y = -3x -7

divide by 4

y = -3/4x – 7/4

so, m = -3/4

b = -7/4

Your goal in solving this problem is to get everything to equal y.

4y-3=3x-11(Add three to both sides)

4y=3x-11+3(Then divide each part by 4 to get y by itself)

This will give you y=3/4x-2.

3/4 is your slope, and -2 is your y-intercept

4y= 3x-8

y = 3/4x – 2

2. The number infront of the x is the slope, as it is the relation between the change in x as the line continues and the change in y. The other number (- 2) is the y intercept, because when you say x=0 (the y-axis line), y= -2.

y= -3/4x – 2

This is slope intercept form for the problem.

y= mx + b

m= slope

b= y intercept

Therfore, slope would be -3/4 and the y intercept would be -2.

y=[-3x-9]/4

y=[3 x 0-9] / 4

y=-9/4

4y=3x-8

y=3/4x-2

slope = 3/4, y-intercept= -2

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