a line passes through point (3,7) the slope is -4 what is the equation

## finding the equation

Tutors, please sign in to answer this question.

# 2 Answers

Hi,

To find the equation of a linear line, you could use the formula

y - y

_{1}= m (x - x_{1}),where (x

_{1},y_{1}) is a point on the line and m is the gradient of the line.For this question, the point is (3, 7) and the gradient is -4.

So,

y - 7 = -4(x-3)

Simplifying this, you will get:

y = -4x +19

Hope this helps.

Line Equation in General:

Y = mx + b

For this problem:

Y = -4X + b

Passes through ( 3,7)

7 = -4 (3) +b

b = 7 +12 = 19

Y = -4X + 19