Slope and Writing Linear Equations

5. Writing Linear Equations in Slope-Intercept Form

Review how to write a linear equation in slope-intercept form given different conditions.

Standards: NG.8.F.4

By G. LaHood

Multiple Choice

Write the equation of the line with a slope of -5/4 and a y-intercept of 2.

• y = -1/4x + 2

• y = 2x - 5/4

• y = 1/4x + 2

• y = -5/4x + 2

Multiple Choice

What does 'b" represent in y=mx+b

• y-intercept

• banana

• nothing

• slope

Multiple Choice

How would you write the equation with the y-intercept of -3 and slope of 2/3?

• y=3/2x+3

• y=2/3-3

• y=2/3x-3

• y=2/3x+3

Writing Equations Type #2

Multiple Choice

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for y, the total cost, to rent the boat for x hours.

• x = 2y + 15

• y = 15x + 2

• x = 15y + 2

• y = 2x + 15

Multiple Choice

Monica was taking a bus trip to see her aunt. For her to ride 50 miles it cost her $40. For her to ride 250 miles the bus trip would cost her $100. Find the rate of change in dollars per mile. Write an equation in slope-intercept form to model this situation.

• y = 3/10x + 40

• y = 2.5x + 25

• y = 3/10x + 30

• y = 3/10x + 25

Multiple Choice

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Writing Equations # 3

Multiple Choice

Write the equation for the line in slope-intercept form.

• y= -1x+3
• y= 4x+3
• y=1/4x+3
• y= -4x+3

Multiple Choice

What is the equation of the line?

• y = 3

• x = 3

• y = 3x

• y = 3x + 3

Multiple Choice

Write the equation of the line.

• y= -1x-3
• y= -3x-1
• y=-1/3x-1
• y= -3x-3

Writing Equations # 4

Multiple Choice

Which equation matches the table?

• y = x + 5

• y = 5x

• y = x - 5

• x = y - 5

Multiple Choice

Which equation matches the table?

• y = 3x + 9

• y = x + 9

• y = x + 3

• y = 12x - 3

Writing Equations Type #5

Multiple Choice

Write the equation of the line that passes through the point (4, -2) and has a slope of $$-\frac{1}{2}$$

• $$y=-\frac{1}{2}x+3$$  

• $$y=-\frac{1}{2}x$$  

• $$y=-\frac{1}{2}x+4$$  

• $$y=-\frac{1}{2}x-4$$  

Multiple Choice

Write an equation in slope intercept form containing the following:

Slope = 4

Point (-2, 1)

• y = 4x +9

• y=4x-7

• y=4x+7

• y=4x-9

Multiple Choice

Write an equation in slope intercept form containing the following:

Write equation of the line containing (4,2) and (3,5)

• y = -3x + 14

• y = 3x + - 4

• y = -3x - 4

• y = -3x + 10

Multiple Choice

Write an equation of the line in slope-intercept form that passes through the points  $$\left(5,\ -2\right)$$   and  $$\left(0,-2\right)$$ . 

• $$y=-2x+5$$

• $$y=5$$

• $$y=5x-2$$

• $$y=-2$$

Multiple Choice

Write an equation in slope intercept form containing the following:

Goes through points (5,6) and (2, 15)

• y = 3x + 21

• y = 3x - 9

• y = -3x + 21

• y = -3x - 9

Multiple Choice

When converting the equation

2x + 4y = 8

into slope-intercept form, the first step to solve for y would be to ____________.

• subtract 2x from each side

• subtract 4y from each side

• add 2x to each side

• add 4y to each side

Multiple Choice

After subtracting 2x from each side, the resulting equation is shown below:

2x + 4y = 8

4y = -2x + 8

The final step to solve for y would be to ____________.

• divide each term by 4

• divide each term by -4

• add 4 to each side

• subtract 4 from each side

Multiple Choice

Convert the equation to slope intercept form.

-3x - 2y = 6

• y = 3x - 2

• y = -3/2x - 3