Question

What is the equation of the given line in standard form?

–6x + 7y = –17


–6x + 11y = –13


–11x + 6y = –13


–6x +11y = 13

Answer 1

-6x + 11y = 13

Explanation:

the equation in slope-intercept form is:

from the two points we can find the slope, 2-(-1) / 1.5-4)

slope = 6/11

y-intercept can be found by using a point and the slope:

-1 = 6/11(-4) + b

-1 = -24/11 + b

b = 1 2/11 or 13/11

so we have:

y = 6/11x + 13/11

if we multiply everything by 11 we get:

11y = 6x + 13

subtract 6x from each side to get:

-6x + 11y = 13