Question

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation.

(4,−3); y=3x−5

Answer 1

y = 3x - 15

Explanation:

1) The line to find has the same slope of the given equation. The slope is 3.

2) Generally, the slope-interception form is:

y = m*x + y0

But we know the slope is 3, that is, m=3. Substituting:

y = 3x + y0

3) This line passes by the point (4, -3). Therefore it is vaild if we substitute numerically this pair to x and y:

-3 = 3*4 + y0

4) From which we obtain y0:

y0 = -3 -12 = -15

5) Finally, the asked line is:

y = 3x - 15