The <em><u>correct answer</u></em> is:
To graph each of these equations, we will find the x- and y-intercept of each. To find the x-intercept, we replace y with 0 and solve. To find the y-intercept, replace x with 0 and solve.
For 2x-4y=8:
x-intercept:
2x-4(0)=8; 2x-0=8; 2x=8; x=4
y-intercept:
2(0)-4y=8; 0-4y=8; -4y=8; y=-2
Plot these intercepts and draw a line between them.
For 2x+8y=-64:
x-intercept:
2x+8(0)=-64; 2x+0=-64; 2x=-64; x=-32
y-intercept:
2(0)+8y=-64; 0+8y=-64; 8y=-64; y=-8
Plot the intercepts and draw a line between them.
For -2x+4y=8:
x-intercept:
-2x+4(0)=8; -2x+0=8; -2x=8; x=-4
y-intercept:
-2(0)+4y=8; 0+4y=8; 4y=8; y=2
Plot the intercepts and draw a line between them.
For 3x+5y=-15:
x-intercept:
3x+5(0)=-15; 3x+0=-15; 3x=-15; x=-5
y-intercept:
3(0)+5y=-15; 0+5y=-15; 5y=-15; y=-3
Plot the intercepts and draw a line between them.
For 12x-3y=3:
x-intercept:
12x-3(0)=3; 12x-0=3; 12x=3; x=3/12=0.25
y-intercept:
12(0)-3y=3; 0-3y=3; -3y=3; y=-1
Plot the intercepts and draw a line between them.
For y=-8, draw a straight horizontal line at -8.
For x+3y=18:
x-intercept:
x+3(0)=18; x+0=18; x=18
0+3y=18; 3y=18; y=6
Plot the intercepts and draw a line between them.
For -4x+6y=-54:
x-intercept:
-4x+6(0)=-54; -4x+0=-54; -4x=-54; x=13.5
y-intercept:
-4(0)+6y=-54; 0+6y=-54; 6y=-54; y=-9
Plot the intercepts and draw a line between them.
For 4x-y=-8:
x-intercept:
4x-0=-8; 4x=-8; x=-2
y-intercept:
4(0)-y=-8; 0-y=-8; -y=-8; y=8
Plot the intercepts and draw a line between them.
For 2x-10y=20:
x-intercept:
2x-10(0)=20; 2x-0=20; 2x=20; x=10
y-intercept:
2(0)-10y=20; 0-10y=20; -10y=20; y=-2
Plot the intercepts and draw a line between them.
For 6x+9y=9:
x-intercept:
6x+9(0)=9; 6x+0=9; 6x=9; x=1.5
y-intercept:
6(0)+9y=9; 0+9y=9; 9y=9; y=1
Plot the intercepts and draw a line betwen them.
For 5x-2y=12:
x-intercept:
5x-2(0)=12; 5x-0=12; 5x=12; x=2.4
y-intercept:
5(0)-2y=12; 0-2y=12; -2y=12; y=-6
Plot the intercepts and draw a line between them.
For 8x+4y=40:
x-intercept:
8x+4(0)=40; 8x+0=40; 8x=40; x=5
y-intercept:
8(0)+4y=40; 0+4y=40; 4y=40; y=10
Plot the intercepts and draw a line between them.
For x+3y=27:
x-intercept:
x+3(0)=27; x+0=27; x=27
y-intercept:
0+3y=27; 3y=27; y=9
Plot the intercepts and draw a line between them.
