what is an equation of the line that passes through the point (4,-6) and has a slope of -3

Answer 1

what is an equation of the line that passes through the point (4,-6) and has a slope of -3

to come up with the equation, use the formula y-y₁=m(x-x1)

y-(-6)=-3(x-4)

From there solve for y to get the equation in slope intercept form. Also remember that negative x negative = positive)

Answer 2

y + 6 = -3(x-4) in point slope form

y =-3x +6 in slope intercept form

3x +y -6 = 0 in general form

3x +y =-6 in standard form