Question

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

Answer 1

y = 2x + 5

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`