Question

Find the equation of a line that passes through (2,8) and is parallel to the graph of y=2x+6. Write the equation in slope-intercept form, if possible.

Answer 1

The equation of a parallel line would be y = 2x + 4

Explanation:

In order to find the equation of this line, we first have to note that paralell lines have same slopes. Therefore, since the original line has a slope of 2, we know the new line will have a slope of 2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 8 = 2(x - 2)

y - 8 = 2x - 4

y = 2x + 4