PLEASE HELP ME I'M GIVING YOU A LOT OF POINTS FOR THESE QUESTIONS

Ok, slope intercept form is y = mx + b

They give the slope and y intercept in the first one. all you have to do is plug them in, giving you y = 1/3x -5

The second one they give you a graph. Using the two points given, (-5,1) and (0,-1), use the equation y2- y1/ x2 - x1 to find the slope.

1- - 1 / -5-0

2/-5 = m = slope

the y-intercept is (0, y) or in this case (0,-1)

Therefore, y = 2/-5x - 1

For the next one, all you got to do is turn the standard form into slope intercept form.

4x - 2y = 14

-4x         -4x

-2y = -4x +14

-2y/-2 = -4x/-2 + 14/-2

y = 2x - 7

When you are given a point and slope, you want to use the . . .you guessed it! Point - slope form

y-y₁=m(x-x₁)

slope =  -3

Point (-1,3)

y - 3 = -3 (x - - 1)

y - 3 = -3x -3

y = -3x + 0

or

y = -3x

The last one, you are given two points. Find the slope using y2-y1/x2-x1

(-4,-7) (8, -13)

-13 - - 7 / 8 - - 4

-6/12

-1/2 = m = slope

Now plug the slope and one of the points into point - slope form

y-y₁=m(x-x₁)

y - -7 = -1/2 (x - - 4)

y +7 = -1/2x -2

y = -1/2x - 9