What is an equation of a line in point slope form that passes through the points (7,-8) and (-4,6)?

y=kx+b

for (7,-8): -8=7k+b. (function 1)

for (-4,6): 6=-4k+b (function 2)

Use function 2 - function 1

we get: 14=-11k

k=-14/11>slope is -14/11

Now we know that first two options are wrong since they have the wrong slope for the function.

Plus -14/11 back to function 1/ or 2. Both are correct and can give you the answer. In this case I would plug it back to function 2.

6=14*4/11+b

b=66/11-56/11

b=10/11

We get y=-14/11x+10/11

subtract both side by 6.

y-6=-14/11x+10/11-66/11

y-6=-14/11x-56/11

y-6=-14/11(x+4)

So C is correct

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)