Question

Import favorites For quick access, place your favorites here on the favorites bar. Manage favorites now

BIG IDEAS MATH
#7 i
y =
◄ Listen
Lucas Ventimiglia
Write an equation of the line that passes through (-1, 3) and is parallel to the line y=-3x + 2.

Answer 1

The equation of the line that passes through (-1, 3) and is parallel to the line y=-3x + 2 is y = -3x.

Step-by-step explanation:

The equation of the line that passes through (-1, 3) and is parallel to the line y=-3x + 2 can be found using the same slope as the given line.

The given line has a slope of -3, so the parallel line will also have a slope of -3.

Using the point-slope form of a linear equation, we have y - y1 = m(x - x1).

Plugging in the values (-1, 3) and -3 for m, we get y - 3 = -3(x - (-1)).

Simplifying, we get y - 3 = -3(x + 1) or y = -3x - 3 + 3.

Combining like terms, the equation of the line is y = -3x.