Writing Linear Systems

Writing Equations of Lines Review

Using slope-intercept, standard, and point-slope forms

Match

Match the formula to its name

• $$y=mx+b$$

• $$Ax+By=C$$

• $$y-y_1=m\left(x-x_1\right)$$

• $$m=\frac{y_2-y_1}{x_2-x_1}$$

Slope-Intercept Form

Standard Form

Point-Slope Form

Slope Formula

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Slope Formula

Dropdown

Write an equation in slope intercept form given the slope and the y-intercept



y=​

Select answer

x​

Select answer

​Copy this down on your notes!

Dropdown

Write an equation in slope intercept form given the graph



y=​ ​

Select answer

x​

Select answer

​Copy this down on your notes!

Fill in the Blanks

Write an equation in slope intercept form given the equation in standard form

Drag and Drop

Find the x and y intercepts of the equation



x-intercept is (​

Placeholder

, ​

Placeholder

)

y-intercept is (​

Placeholder

, ​

Placeholder

)

Drag these tiles and drop them in the correct blank above

7/2

0

-7

-7/2

7

4

-2

-4

2

​Copy this down on your notes!

Drag and Drop

Write an equation in POINT-SLOPE form given a point on the line and the slope of the line



y​

Placeholder

=​

Placeholder

(x​

Placeholder

)

Drag these tiles and drop them in the correct blank above

-3

+1

+3

-1

-1/3

Fill in the Blanks

Write an equation in SLOPE-INTERCEPT form given a point on the line and the slope of the line

AKA, solve this equation for y:

$y-3=-3\left(x+1\right)$

​Copy this down on your notes!

Drag and Drop

Find the slope between the two given points



m=​

Placeholder

​

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-1/2

-2

-6/12

-12/6

-5

-1/5

1/2

2

12/6

6/12

Drag and Drop

Given that the slope is -1/2, write the equation in POINT-SLOPE FORM



Using (-4,-7), y​

Placeholder

=-1/2(x​

Placeholder

)

Using (8,-13), y​

Placeholder

=-1/2(x​

Placeholder

)

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+7

+4

+13

-8

-7

-4

-13

+8

Fill in the Blanks

Now, solve EITHER equation for y to write the equation in slope-intercept form

​Copy this down on your notes!

Now flip your paper over and do the review on the back!

Continue to answer the questions on Quizizz to check if you're correct.

Fill in the Blanks

Write an equation in SLOPE INTERCEPT FORM if the slope is 2/7 and the intercept is 0.

Fill in the Blanks

Write an equation in SLOPE INTERCEPT FORM if m=1 and b=-4.

Fill in the Blanks

What is the equation of this line in SLOPE INTERCEPT FORM?

Fill in the Blanks

What is the equation of this line in SLOPE INTERCEPT FORM?

Fill in the Blanks

Write 2x+5y=35 in slope intercept form.

Fill in the Blanks

Write 2x-y=4 in slope intercept form.

Drag and Drop

Find the x- and y-intercepts of x-6y=-30



(Forgot how? To find y-int, set x=0 and solve for y. To find x-int, set y=0 and solve for x!)



x-intercept is ​ ​

Placeholder

and the y-intercept is ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

(-30,0)

(0,5)

(0,-30)

(5,0)

(30,0)

(0,30)

(1,0)

(0,-6)

(-6,0)

(0,1)

Drag and Drop

Find the x- and y-intercepts of 5x-4y=-12



(Forgot how? To find y-int, set x=0 and solve for y. To find x-int, set y=0 and solve for x!)



x-intercept is ​

Placeholder

and the y-intercept is ​

Placeholder

Drag these tiles and drop them in the correct blank above

(-12/5,0)

(0,3)

(5,-12)

(5,0)

(0,-4)

(-4,12)

(-12,-4)

(5,-4)

Fill in the Blanks

What is the equation of this line?

Fill in the Blanks

What is the equation of this line?

Dropdown

Write the equation of the line IN POINT-SLOPE FORM that goes through the point (-2,-3) and has a slope of 5/2.



y -​

Select answer

=​

Select answer

(x -​

Select answer

)

and the simplified equation is

y ​+ ​

Select answer

=​ (same slope as above)(x + ​

Select answer

)

Drag and Drop

Write the equation of the line that goes through the point (2,-4) and has a slope of -3.



y​

Placeholder

=​

Placeholder

(x​

Placeholder

)

Drag these tiles and drop them in the correct blank above

+4

-3

-2

-4

+2

Dropdown

Write the equation of the line that goes through the points (0,2) and (4,-4).



Important formulas:

Slope formula: $$m=\frac{y_2-y_1}{x_2-x_1}$$   Point slope formula: $$y-y_1=m\left(x-x_1\right)$$ , where m=slope and  $$\left(x_1,y_1\right)$$  is the given point.



Using (0,2), the equation is y​

Select answer

=​

Select answer

x

Using (4,-4), the equation is y​

Select answer

=​

Select answer

(x​

Select answer

)

Drag and Drop

Write the equation of the line that goes through the points (-2,-4) and (-3,-3). Important formulas:

Slope formula: $$m=\frac{y 2-y1}{x2-x1}$$   Point slope formula: $$y-y1=m\left(x-x1\right)$$ , where m=slope and  $$\left(x1,y1\right)$$  is the given point.

The slope is m=​

Placeholder

Using (-2,-4), y​

Placeholder

=​ m(x​

Placeholder

)

Using (-3,-3), y​

Placeholder

=​ m(x​

Placeholder

Drag these tiles and drop them in the correct blank above

-1

+4

+2

+3

-2

-4

-3