Find the slope-intercept equation that passes through the (6, 8) and is parallel to the line with the equation 3x + y = 6.

A. y = 1/3x + 6
B. y = -3x+ 26
C. y = 3x - 10
D. y = -3x + 30

Question

Find the slope-intercept equation that passes through the (6, 8) and is parallel to the line with the equation 3x + y = 6.

A. y = 1/3x + 6
B. y = -3x+ 26
C. y = 3x - 10
D. y = -3x + 30

anonymous · Answer

so find the slope first.. by putting 3x+y = 6 into linear form.. we see that y = -3x + 6 right?  where y = mx+b and m = slope and b = y intercept.

anonymous · Answer

in a parallel line.. we know that the slope will be the same.  so in this case the slope is -3.

anonymous · Answer

using point slope formula y - y1 = m(x-x1) we plug in our points (6, 8)  so y - 8 = m(x - 6)

anonymous · Answer

since we said the slope was -3 you plug that in and solve for y.

anonymous · Answer

y = -3(x - 6) + 8   can you solve from there?

anonymous · Answer

would it be B?    y=-3x+26