Question

What is the slope of the line whose equation is y−4= StartFraction 5 Over 2 EndFraction.(x−2)? A coordinate plane with a line passing through the points (0, negative 1) and (2, 4).

Answer 1

The slope of the given line is 5/2.

How to get the slope of the line?

The general linear equation can be written in the slope-intercept form as:

y = a*x + b

where a is the slope.

Here we have the equation:

y - 4 = (5/2)*(x - 2)

If we isolate y and expand the product in the right, we get:

y =  (5/2)*(x - 2) + 4

y = (5/2)*x - (5/2)*2 + 4

y = (5/2)*x - 5 + 4

y = (5/2)*x - 1

This is the linear equation in the slope-intercept form, as you can see, the slope is equal to 5/2.

If you want to learn more about linear equations:

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