Conquer the College Math Placement Challenge 2026 – Step Up and Shine!

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What is the equation of a line with slope 2 passing through the point (1, 3)?

y = 2x + 1

y - 3 = 2(x - 1)

To find the equation of a line given its slope and a point it passes through, we can use the point-slope form of a linear equation. The point-slope form is expressed as:

$ y - y_1 = m(x - x_1) $

where $ m $ is the slope, and $ (x_1, y_1) $ is the point on the line. In this case, the slope $ m $ is 2, and the point is $ (1, 3) $, so we can substitute these values into the formula:

1. Substitute $ m = 2 $, $ x_1 = 1 $, and $ y_1 = 3 $:

$ y - 3 = 2(x - 1) $

This gives the equation in point-slope form. The correct answer reflects this formulation accurately.

To understand it further, if you were to rearrange this equation into the slope-intercept form $ y = mx + b $, you would distribute and simplify:

$ y - 3 = 2x - 2 $

$ y = 2x + 1 $

This shows that the choice

Get further explanation with Examzify DeepDiveBeta

y = 3 + 2x

y - 1 = 2(x - 3)