Question

Select the correct graph of -4x + 3y = 6.

Answer 1

one way to do these problems is find 2 points on the line, and find the graph that goes through those 2 points.

Answer 2

oops. Let me fix my arithmetic!!

to find two points, pick simple numbers for x (zero is very simple!)
-4x + 3y = 6
replace x with zero:

-4 * 0 + 3y = 6
-4 times 0 is 0, and 0 plus 3y is just 3y. you get
3y = 6

divide both sides by 3 to get
y=6/3 = 2

all of that means that (0,2) is a point on the line

Answer 3

now try x=1 in
-4x + 3y = 6
-4 * 1 + 3y = 6
-4 + 3y = 6
add +4 to both sides
-4 + 4 + 3y = 6+4
3y = 10

divide by 3 on both sides
y = 10/3 = 3 1/3 (at bit ugly!)

but (1, 3 1/3) is on the line

Answer 4

Can you pick out the graph ?

Answer 5

notice that as you go from x=0 to x=1 y goes up from 2 to \( 3 \frac{1}{3}\)
that means it slopes up to the right