Question

The slope of the line is m=3/4. One point is (x, 2) and (3,-4)
Find X

Answer 1

x is 11

Explanation:

We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)

Substitute the numbers into the equation

y--4=3/4(x-3)

simplify

y+4=3/4(x-3)

do the distributive property

y+4=3/4x-9/4

subtract 4 from both sides

y=3/4x-25/4

this is the equation of the line.

Since it says that (x,2) is a point in the equation, we can substitute it into the equation

2=3/4x-25/4

add 25/4 to both sides

33/4=3/4x

multiply by 4/3

11=x

we can double check by plugging (11,2) into the equation of the line.

2=3/4(11)-25/4

2=33/4-25/4

2=2

it works! :)

Hope this helps!