Question

What is the equation of the line:

* parallel to the line 3x + 2y - 6 = 0 and * passing through the point (4, 5)?

Answer 1

y = -1.5x + 11

Explanation:

Because the line is parallel, the equation will have the same slope. To find the slope, convert the given equation to y=mx+b form. The equation you get should be y = -1.5x + 3. The slope will be -1.5.

Now using the y=mx+b form, plug in the points given and the slope we found and solve for b.

5 = -1.5(4) + b

b = 11

Now, with the slope and b, you should get the equation y = -1.5x + 11.