Write an equation in slope intercept form that passes
through the points (-4,6)
and (-5,-2).
y = 4x + 24
y = 4x – 38
y = 8x + 38
y = -8x + 38

y=8x+38

Step-by-step explanation:

First, let's solve for our slope.We would use the equation m=y2-y1/x2-x1.

1. Label your points as x1 y1 and x2 y2.

(-4,6) (x1,y1) and (-5,-2) (x2-y2)

2. Plug your points into the equation: m=y2-y1/x2-x1

m= -2-6/-5-(-4)

m=-8/-1

m=8

Now we have our slope. To find b, we need to plug our coordinates.

1. Take one of your coordinates and plug in the x and y. First use (-4,6)

y=8x+b --> 6=8(-4)+b

2. Multiple 8(-4) and move to the other side of the equation in order to get b by itself.

6=-32+b

6+32=b

38=b

Now repeat the process with the other coordinate. (-5,-2)

y=8x+b ---> -2=8(-5)+b

-2=-40+b

-2+40=b

38=b

Your final equation is:

y=8x+38

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.