Question

What is parallel to y=-3x+12, passing through (4,2), written in point slope form and standard form?

Answer 1

Answer:

$y = 4x - 18$

$y - 4x = -18$

Step-by-step explanation:

Given

$y = -3x + 12$

$Point:(4,2)$

Required

Determine the equation.

This is calculated as follows:

Since the line is parallel to $y = -3x + 12$, then m = slope =-3

The point slope of a lin equation is:

$y -y_1 = m(x - x_1)$

This gives:

$y - 2 = 4(x - 4)$

$y - 2 = 4x - 16$

Solve for y

y = 4x - 16 - y

$y = 4x - 18$

To convert smileys into standard form, we have"

$Ax + by = c$

This gives

$y - 4x = -18$