What is the equation of a line that passes through (4, 3) and has a slope of 2?

Solution:

The equation of a line that passes through a point (x₁, y₁) and a slope m is given by

(y - y₁) = m (x - x₁)

The equation of a line in slope intercept form is given by

y = mx + c

Where, m = slope

c = constant term

y = y-intercept

Given,

Slope of the line, m = 2

Point (x₁, y₁) = (4, 3)

Now, the equation of the line is

y - 3 = (2)(x - 4)

y - 3 = 2x - 8

y = 2x + 3 - 8

y = 2x - 5

Therefore, the equation of the line is y = 2x - 5.

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What is the equation of a line that passes through (4, 3) and has a slope of 2?

Summary:

The equation of a line that passes through (4,3) and has a slope of 2 is y = 2x - 5.