Question

The equation of line g is y = 6x - 7. Line h, which is parallel to line g, includes the point

(1, 1). What is the equation of line h?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
DjO

Answer 1

y = 6x -5

Explanation:

You want the equation of the line through (1, 1) that is parallel to the line y = 6x -7.

Parallel line

The parallel line will have the same slope. In this slope-intercept form, that means the x-term is the same. The constant is chosen to make the line pass through the given point:

y = 6x +b . . . . . . . . . . . . . . where 'b' is the new y-intercept

b = y -6x = 1 -6·1 = -5 . . . . solve for b, use (x, y) = (1, 1)

The desired equation is ...

y = 6x -5