Question

Which of the following is equation of a line that passes through (-2,1) and (-4,-3)?​

Answer 1

Answer:

y = 2x + 5

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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We have the points (-2, 1) and (-4, -3). Substitute:

$m=\dfrac{-3-1}{-4-(-2)}=\dfrac{-4}{-2}=2$

$y=2x+b$

Put the coordinates of the point (-2, 1) to the equation:

$1=2(-2)+b$

$1=-4+b$           add 4 to both sides

$5=b\to b=5$

Finally:

$y=2x+5$