Question

Write the equation for a line in slope-intercept form (y=mx+b) that

is parallel to y = -2x + 3 and passes through the point (-3,5).

Answer 1

y = -2x - 1

Explanation:

Parallel lines have the same slope, so the slope will also be -2.

Plug this slope and the given point into the equation y = mx + b and solve for b:

y = mx + b

5 = -2(-3) + b

5 = 6 + b

-1 = b

Then, plug this and the slope into the equation:

y = -2x -1 will be the equation