Question

Find the slope-intercept form of the equation that passes through the given point and is parallel to a given line.

(3,3) and y =2/3 x - 1.

Please help!

Answer 1

The line would be y = 2/3x + 1

Step-by-step explanation:

In order to find this, we first need to note that the original slope is 2/3. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.

y - y1 = m(x - x1)

y - 3 = 2/3(x - 3)

y - 3 = 2/3x - 2

y = 2/3x + 1