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

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 = (1)/(3)`

Step 1: Find the line

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

`(y - 5) = (1)/(3)(x - 2)`

`y - 5+5 = (1)/(3)x-(2)/(3)+5`

`y=(1)/(3)x+(13)/(3)`

Answer:
`y=(1)/(3)x+(13)/(3)`