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