Question

A line has a slope of 2 and passes through the point (1, 3). An equation of the line is

Answer 1

y = 2x + 1

Explanation:

When given a point and a slope, use point-slope form of a line.

y - y₁ = m (x - x₁)

Here, (x₁, y₁) is (1, 3), and m = 2.

y - 3 = 2 (x - 1)

We can convert to slope-intercept form by solving for y:

y - 3 = 2x - 2

y = 2x + 1