Question

The equation for line k can be written as 4x+7y=7. Line l includes the point (7,3) and is parallel to line k. What is the equation of line l?

Answer 1

Answer:

$4x+7y=49$

Step-by-step explanation:

If you don't want to go through the slope-intercept form, you can easily see that two parallel line have their x and y coefficients in the same ratio, in our case 4:7. Let the new line be, then, $4x+7y=k$ and state that passes through our point: $4(7)+7(3) = k \rightarrow k=49$