Question

Please help me with geometry.

Answer 1

y = 6x + 9

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept → (0, b).

Parallel lines have the same slope.

Therefore if k: y = 6x + 7 → m = 6, and l: y = mx +b,

then l is parallel to k if m = 6.

We have the equation: y = 6x + b.

The line l passes through (0, 9). Therefore b = 9.

Finally we have:

y = 6x + 9