Question

Indicate the equation of the given line in standard form.

The line through (2, -1) and parallel to a line with slope of 3/4

(From left to right the second box already has x and the fifth box already has y.)

Answer 1

The line through (a,b) with slope m is

y-b = m(x-a)

Here that's

y + 1 = (3/4) (x - 2)

Let's multiply by 4 to clear the fractions and distribute the constants,

4y + 4 = 3x - 6

Rearranging into standard form,

3x - 4y = 10

Check. The slope is 3/4, good. 3(2) - 4(-1) = 6+4 = 10 good

Answer: 3x - 4y = 10