Question

What is an equation of the line that passes through the points (1,-7) and (-4,8)

Answer 1

Equation of the line is 3x + y + 4 = 0

Step-by-step explanation:

• Step 1: Given points are (1, -7) and (-4,8)

⇒ x1 = 1, x2 = -4, y1 = -7, y2 = 8

• Step 2: Form equation for the line using (y-y1) = m(x-x1). Find slope m.

⇒ m = (y2 - y1)/(x2-x1) = (8 - -7)/(-4 - 1) = 15/-5 = -3

• Step 3: Substitute the values and form the equation.

⇒ y - -7 = -3(x - 1)

⇒ y + 7 = -3x + 3

⇒ 3x + y + 4 = 0