Question

The equation of line LM is y = 5x + 4. Write an equation of a line perpendicular to line LM in slope-intercept form that contains point (-3, 2).

Answer 1

Select one:
a. y = -5x + 13
b. y=-1/5x + 7/5
c. y=1/5x - 7/5
d. y=5x- 17

Answer 2

@Nurali

Answer 3

Perpendicular means the negative reciprocal.

Answer 4

ok

Answer 5

So the slope becomes:
\[\LARGE 5 ===> -\frac{1}{5}\]

Answer 6

And
\[\LARGE y=mx+b\]
m=slope
b=x-intercept

Answer 7

isn't that the slope formula

Answer 8

Yup, so if you plug in -1/5 you have..
\[\LARGE y=-\frac{1}{5}x+b\]

And there's only one answer choice with that slope..

Answer 9

so its b or c

Answer 10

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&(-3\quad ,&2)
\end{array}
\\\quad \\

slope = m= -\cfrac{1}{5}
\\ \quad \\

y-y_1=m(x-x_1)\qquad \textit{plug in your values and solve for "y"}\)

Answer 11

Made a little mistake, the b is the y-intercept, not x

Answer 12

Well, c has a POSITIVE slope, we need the one with the negative slope