Free Printable Lesson 3 - The Straight Line

1.

Which is a linear equation?

a)

$2x-3y^2+9\ =\ 0$

b)

$5x\ -\ 6y\ =\ 30$

c)

$\frac{2x+5}{x-1}=1$

d)

$\sqrt[]{2x+3y-1}=\ 0$

2.

Which is the formula for the slope?

a)

$m=\frac{x_2-x_1}{y_2-y_1}$

b)

$m=\frac{y_2-x_1}{x_2-y_1}$

c)

$m=\frac{y_2-y_1}{x_2-x_1}$

d)

$m=\frac{x_2-y_2}{x_1-y_1}$

3.

What is the slope of the line that passes through (1, 3) and (2, -4)?

(a)

4.

Find the slope of the line containing points (-2, -5) and (2, -7).

a)

$-0.5$

b)

$0.5$

c)

$2$

d)

$-2$

5.

What is the equation of the given straight line?

(a)

6.

What is the slope of x = 2?

a)

2

b)

-2

c)

0

d)

undefined

7.

Which is the equation of the given line?

a)

1

b)

x=1

c)

y=1

d)

x+y=1

8.

Which has an equation of x = 5?`

a)

b)

c)

d)

9.

What is the slope of y = -2?

a)

-2

b)

2

c)

0

d)

undefined

10.

Which is the point-slope form of a linear equation?

a)

$y-y_1=m\left(x-x_1\right)$

b)

$y-y_1=\frac{y_2-y_1}{x_2-x_1}\left(x-x_1\right)$

c)

$y=mx+b$

d)

$ax+by+c=0$

11.

What is the slope and the y-intercept of $y=x-1?$

a)

m = 1

b = -1

b)

m = 1

b = 1

c)

m = 0

b = -1

d)

m=-1

b=1

12.

What is the equation of a line that passes through (1, -1) and has a slope of 3?

a)

$y=3x-4$

b)

$y=3x-2$

c)

$y=3x-1$

d)

$y=-3x-4$

13.

What is the equation of a line whose slope is and $\frac{1}{2}$ and a y-intercept of -3?

a)

$y=-3x+\frac{1}{2}$

b)

$y=3x+\frac{1}{2}$

c)

$y=\frac{1}{2}x-3$

d)

$y=\frac{1}{2}x+3$

14.

Which is the correct two-point form of a line which passes through $\left(-3,\ 0\right)$ and $\left(4,\ 2\right)?$

a)

$y-3=\frac{2-0}{4-\left(-3\right)}\left(x-0\right)$

b)

$y-0=\frac{2-0}{4-\left(-3\right)}\left(x-\left(-3\right)\right)$

c)

$y-3=\frac{4-\left(-3\right)}{2-0}\left(x-0\right)$

d)

$y-0=\frac{4-\left(-3\right)}{2-0}\left(x-\left(-3\right)\right)$

15.

The slopes of these lines are the same.

a)

parallel lines

b)

perpendicular lines

16.

The product of the slopes of these lines is -1.

a)

parallel lines

b)

perpendicular lines

17.

The lines $y=-4x+1$ and $y=\frac{1}{4}x-4$ are _____.

a)

parallel

b)

perpendicular

18.

The equation of the line that passes through (1, 1) and parallel to $y=x+6$ is _____.

a)

$y=x-1$

b)

$y=x+1$

c)

$y=x$

d)

$y=-x$

19.

The slope of the line that is parallel to $y=\frac{2}{3}x-2$ is _____.

a)

$-\frac{3}{2}$

b)

$\frac{2}{3}$

c)

$-\frac{2}{3}$

d)

$\frac{3}{2}$

20.

The slope of the line that is perpendicular to $y\ =\ 5x-9$ is _____.

a)

$5$

b)

$-5$

c)

$\frac{1}{5}$

d)

$-\frac{1}{5}$

Lesson 3 - The Straight Line

Total questions: 20

Worksheet time: 56mins

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