Question

Which equation represents the line that passes through the points(-4, -1) and (-1, -7)?
y = -2x -9
y = -2x +9
y = -1/2x + 3
y = -1/2x - 3

Answer 1

The right answer is: $y = -2x-9$

Step-by-step explanation:

Given points are:

(x1,y1) = (-4, -1)

(x2,y2) = (-1, -7)

The equation of line is given as:

$y = mx+b$

First of all, we have to find the slope

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{-7-(-1)}{-1-(-4)}\\=\frac{-7+1}{-1+4}\\=\frac{-6}{3}\\= -2$

Putting the value of m in the equation

$y = -2x+b$

To find the value of b, putting (-4,-1) in the equation

$-1 = -2(-4)+b\\-1 = 8+b\\b = -1-8\\b = -9$

Putting the value of b, we get

$y = -2x-9$

Hence,

The right answer is: $y = -2x-9$

Keywords: Equation of line, slope

Learn more about equation of line at:

• brainly.com/question/730852
• brainly.com/question/7297385

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