7.3 Slope-Point Form Worksheet With Answers

7.3 Slope-Point Form

Objectives:



Write an equation using the slope-point form



Determine the equation of a line using two points

We’ve seen two ways to write the equation of a non-vertical line:

There is a third way called the ______________ ______________ form.

Use the point-slope method to find the equation of a line with a slope of 2 and passing through (1,3).

Step1:

Use the equation for slope. We only know one coordinate, so

m =

we’ll use (x,y) to represent another, unknown coordinate.

Multiply both sides of the equation by the denominator:

Your new equation shows both the coordinates of the

known point and also shows the slope of the line

The point-slope equation of a line is written using

1) Slope

2) A point

Write the point-slope equation for each line:

Slope of -3 and passing through

�� =

and passing through (4,1)

and passing through (-2,3)

(2,5)

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