Question

Write the equation of a line containing (3,-7) that is parallel to the line given by the equation -4x+8y=3

Answer 1

Two lines are parallel is they have the same slope. In this case:

`-4x\text{ + 8y = 3}`

Solving the equation for y, and obtaining the slope-intercept equation for the line equation, we have:

`8y\text{ = 3 + 4x}`
`y\text{ = }(3)/(8)\text{ + }(4)/(8)x`

Then,