write an equation for the line through (-4,2) with slope 3, in standard form with integrated coefficients

Answer 1

Standard form is ax + by + c

use information to first write equation in point-intercept form: y - y1 = m (x - x1)

where (x1,y1) = (-4,2) and m = 3:

y - 2 = 3(x--4)

Use algebra to transform equation to standard form:

y - 2 = 3(x+4)

y - 2 = 3x + 12

y = 3x + 14

-3x + y = 14