Question

Find the equation of the line using the info given and write the answers in slope – intercept form.
perpendicular to y = −3 through the point (2, 5)

Answer 1

Answer:

y - 5 = 0(x - 2)

y - 5 = 0

y = 5

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Step 1:  Find the slope of the new line

To find the slope of a line perpendicular, you need to find the opposite reciprocal.  Which means that you flip the sign and put the number over 1.

Opposite → $y = -3$ → y = 3

Reciprocal → $y = 3$ → $y = \frac{1}{3}$

Step 1:  Find the line

$(y-y_0) = m(x - x_0)$

$(y - 5) = \frac{1}{3}(x - 2)$

$y - 5+5 = \frac{1}{3}x-\frac{2}{3}+5$

$y=\frac{1}{3}x+\frac{13}{3}$

Answer:  $y=\frac{1}{3}x+\frac{13}{3}$