Algebra Standard 7.0

California State Framework: Students verify that a point lies on a

                                         line, given an equation of the line.

                                         Students are able to derive linear

                                         equations by using the point-slope

                                          formula.

Student Friendly Language: Students have to obtain

                                        the slope-intercept form and the

                                        standard form by using the point-slope

                                        form. 

Have the points (0,-4) and (4,0).

Find the slope between the points.Plug in the points into the slope formula.  .

m=0-(-4)/4-0        plug in the points            

m=4/4                  subtract

m=1                     divide

**The slope is 1.

Plug in the slope and one of the points to the point-slope form.

                                 y – y₁ = m(x – x₁)

We are going to use the point (0,-4) and the slope which is 1.

y-(-4)=1(x-0)        plug in  the slope and the point           

y+4=1(x-0)           change the subtraction to addition and

                            add the opposite       

**The point-slope form is y+4=1(x-0).

To find the slope-intercept form we will slove the point-slope form.

the slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y+4=1x-0                  

y=1x-4                 add -4 to both sides                

**The slope-intercept form is y=1x-4.

We need to change the slope-intercept form to the standard form.

the standard form is Ax + By = C, where A, B, and C are integers. 

y=1x-4           

-1x+y=-4             add -1x to both sides

**The standard form is -1x+y=-4.

 Click Here for extra help on how to find the point-slope form.