A line passes through the point (4, -2) and has a slope of 1/2

What is the value of a if the point (-4, a) is also on the line?

-6
-5
5
6
HELP

a would equal -6

Step-by-step explanation:

First, use y=mx+b to find the y-intercept (plug in (x,y) and 1/2 for m)

-2=4(1/2)+b   this would simplify to -2=2+b  

Subtract 2 from both sides

-2-2=2-2+b

b=-4   our y-intercept is -4

our new equation would be y=1/2x-4, graph this equation and find a point that correlates with the -4 on the y-axis and is in the line, that point will be -6

To prove our point we can write the equation using our new points (-4,-6) and we will get -4 as our "b" or y-intercept

-6=-4(1/2)+b

-6=-2+b      add -2 to both sides

-4=b  

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.