Algebra: Topic 2 Review (Different Forms of a Line)

Slope Intercept

100

What is the slope of the line y = 3x + 7

3

200

What is the definition of the y intercept?

The point where the line crosses the y axis.

300

What is the equation of a line in slope intercept form with a point at (0, 5) and a slope of -4?

y = -4x + 5

400

What is the slope of the line? -3x + y = 5

3

500

What is the correct slope intercept equation for a line with points at (3, 2) and (5, -8)?

y = -5x +17

Point Slope

100

What is the slope of the equation?  y - 3 = -5 ( x + 3)

-5

200

What is the point slope form of a line with a point at (2, 5) and a slope of 3?

y - 5 = 3 (x -2)

300

What is the point slope form of a line with a slope of -3/5 that goes through point (6, -4)?

y + 4 = -3/5 ( x - 6)

400

What is the easiest point to identify on the line y - 3 = 2 ( x + 7)?

(-7, 3)

500

What is the equation of the line formed by the points (2, -5) and (-6, 5) in point-slope form?

Either 

y + 5 = (-5/4) (x - 2) 

y - 5 = (-5/4) (x + 6)

Standard Form

100

What is standard form?

Ax+By=C

200

There is a theater production this weekend. Adult tickets cost 14 dollars, and child tickets cost $10. The drama club would like to make $1400 dollars at the show. Write an equation to represent the scenario.

14x + 10y = 1400

300

Graph the line: x = 4

vertical line through x=4

400

Write the equation in slope-intercept form: 4x + 2y = 5

y = -2x + (5/2)

500

What are the equations for the horizontal and vertical lines through the point (-3, 4)? Label which equation is horizontal and which is vertical.

horizontal: y = 4 

vertical: x = -3

Converting

100

Convert into slope-intercept form: 

y - 3 = -2(x - 4)

y = -2x +11

200

What is the slope intercept form of a line with the standard form 5x - 2y = 10?

y = (5/2)x - 5

300

Change the following equation into standard form: y = -3x - 10

3x + y = -10

400

Given the point (5, -2) and the slope -1, write the slope-intercept equation of the line. 

y = -x + 3

500

Which of the following are the same lines in different forms: 

A:  y = 2x - 6

B:  y - 0 = 2 (x + 3)

C:  2x - y = 6

A and C

Miscellaneous

100

What is the slope formula?

(y₂ - y₁) / (x₂ - x₁) 

200

Fill in the blank: Perpendicular lines have slopes that are _________________. 

opposite reciprocals

300

What is the equation of a line that is parallel to y= -7 through the point (3, 5)

y=5

400

What is the slope-intercept equation of a line perpendicular to y= (-2/5)x + 3 and that goes through the point (-6, -3)?

y = (5/2)x + 12

500

What are the x and y intercepts for the following equation: 2x - 3y = 6

Write your answers as points.

y-intercept: (0, -2)

x-intercept: (3, 0)