Question

Write the equation for a line that is parallel to the line y=5-2/3x and passes through the point (-3,0)

Answer 1

Answer:

y=-2/3x-2

Step-by-step explanation:

Lines that are parallel to each other have the same slope. The line you start with is in the form y = mx + b, with an m, or slope, of -2/3. This means that The other line will also have a slope of -2/3. To make the line touch the point however, you must add a b so that it lands where you want it. If you have the equation y = -2/3x, and plug in -3, you get 2 for y, however we want 0. Therefore, we need to have a b of -2. This gives us a final equation of y = -2/3x - 2