What is an equation of the line that passes through the points (4, -2) and (8, – 7)? Put your answer in fully reduced form.

y= -5x/4 + 3

Step-by-step explanation:

To find slope, use the equation , so m(the slope) = (-7+2)/(8-4) = -5/4.

Now let us use (4,-2) in the equation .

So y - (-2) = (-5/4)(x - 4) (equation of the line)

y + 2 = -5/4(x - 4)

y + 2 = -5x/4 + 5

y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)

You could also use (8,-7) instead of (4,-2).

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!