What is the equation of the line that passes through the point (8,4) and has a slope of 3/2 ?

The equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

(point-slope form) or

(slope-intercept form).

Given:

a point on a line: (8, 4)

slope of the line: 3/2

The equation of the line can be written in either point-slope form or slope-intercept form.

First, let's write the equation in point-slope form since we know one of the points and the slope.

Where,

=>> point-slope form.

(slope-intercept form)

Therefore, the equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

(point-slope form) or

(slope-intercept form).

Learn more here:

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y = x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = , thus

y = x + c ← is the partial equation

To find c substitute (8, 4) into the partial equation

4 = 12 + c ⇒ c = 4 - 12 = - 8

y = x - 8 ← equation of line

the answer is 62.8 cubic units