Question

Use intercepts to graph each line by each equation.
1) 2x-4y=16
2) -3y+6x=(-18)
3) y=-3x+3

Answer 1

Well you can begin by recalling that you can obtain the x intercept, by setting y to be zero and solving for x.

Likewise you can get the y intercept by setting x to be zero and solving for y

Answer 2

Ah, thank you.

Answer 3

intercepts are fun if; I do it like this:

given a linear equation: ax + by = c, we can divide out the c
\[\frac{ax}{c}+\frac{by}{c}=\frac{c}{c}\]then we can divide off the numerators as well:\[\frac{x}{c/a}+\frac{y}{c/b}=1\]
and your intercepts are just the denominators now

Answer 4

2x-4y=16

2x/16 -4y/16 = 16/16

x/16/2 + y/16/-4 = 1

x/8 + y/-4 = 1

you xint = 8 and your yint = -4

Answer 5

-3y + 6x = (-18)

-3y/(-18) + 6x/(-18) = (-18)/(-18)

y/-18/-3 + x/-18/6 = 1

y/6 + x/-3 = 1

xint=-3, yint=6