What is the point-slope form of a line that has a slope of -4 and passes through point (1,-3)

y + 3 = - 4(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 4 and (a, b) = (1, - 3), hence

y - (- 3) = - 4(x - 1), thus

y + 3 = - 4(x - 1) ← in point- slope form

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)