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

Question

asked May 10, 2020 141k views

1 Answer

Gamen · Answer 1 · 2020-05-16T03:41:02+0000

Answer:

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=(y_2-y_1)/(x_2-x_1)

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

m=(-3-1)/(-4-(-2))=(-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