Question

Last one!!! What is the y-intercept of a line through (2,7) and perpendicular to the graph of y=-3/2x+6???

Answer 1

with this be a form of a linear equation ?

Answer 2

yes

Answer 3

What you would want to do here is have another line in the form of slope-intercept.

\(\displaystyle y=mx+b\)

Now for a line to be perpendicular, that would mean that the slope would be the negative reciprocal of the given slope.

\(\displaystyle m_{given}=-\frac{3}{2},~m_{perpendicular}=\frac{2}{3}\)

To give us the very basic equation,

\(\displaystyle y=\frac{2}{3}x+b\)

Now to get the y-intercept we need to use the coordinates given.

\((2,7)\rightarrow(x,y)\)

We would just plug in those values for x and y in the equation above.

\(\displaystyle (7)=\frac{2}{3}(2)+b\)

Solve for b,

\(\displaystyle b=\frac{17}{3}\)

Bam, there we are! Make sense?

Answer 4

OMG you saved me thank you!!!!

Answer 5

No problem!