Grade 10: Chapter 3 & 4 Review

Slope-Intercept Form

100

True of False: In slope intercept form y = mx + b, m is the slope and b is the x-intercept.

False.

200

Determine the slope and the y-intercept of the following line

y = -3x + 5

m = -3

(0, 5)

300

Write the equation of a line that has a slope of 1/2 and a y-intercept of (0, -2)

y=1/2x-2

400

A line runs through the points (-2, 8), and (6, -4) and has a y-intercept of (0, 5) 

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

y = -3/2x + 5

500

A car rental company has an initial fee of 80 dollars to rent a car, and then charges an additional 30 dollars for each day you rent it.

Write a slope-point form linear equation which relates the amount of days you've rented the car to the amount of money you will be charged.

y = 30x + 80

Slope-Point Form

100

True or False: In slope-point form, m is the slope and (x₁, y₁) is any point on the line. 

True

200

Determine the slope and a point on the following line:

y - 4 = 2(x - 2)

m = 2

(2, 4)

300

Write the equation of a line which has a slope of 1/2 and runs through the point (3, 2) in slope-point form.

y - 2 = 1/2(x - 3)

400

Write the equation of a line that runs through the points (1, 1) and (3, 5) in slope-point form.

y - 1 = 2(x - 1)

or

y - 5 = 2(x - 3)

500

Chinese New Year is on Wednesday January 29th this year. 2025 is the Year of the ____________.

Snake

Parallel and Perpendicular Lines

100

True or False: Two parallel lines can never intersect.

True

200

True or False: Perpendicular lines have reciprocal slopes.

False

300

Are these two slopes parallel, perpendicular, or neither:

m₁ = 2      m₂ = 1/2

Neither

400

Are these two lines parallel, perpendicular, or neither:

y = 2x - 10

y - 4 = 2(x - 5)

Parallel

500

Are these two lines parallel, perpendicular, or neither:

y₁ = -2x + 5

y₂ = ( 1/2 )x - 8

Perpendicular

Equations

100

Convert the following standard form equation into slope-intercept form:

4x + 2y = 10

y = -2x + 5

200

Convert the following slope-point form equation into slope-intercept form:

y + 5 = 3 (x - 10)

y = 3x - 35

300

Convert the following slope-intercept form equation into standard form:

y=-1/2x+5

x + 2y = 10

400

Convert the following slope-point form equation into standard form.

y - 5 = 1/3(x - 9)

x - 3y = -6

500

Which two of the following three equations represent the same line?

a) x - 2y = 4

b) y - 5 = 1/2(x - 6)

c) y = 1/2x - 2

a and b