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Finding the Equation of the Line

Total questions: 12

Worksheet time: 13mins

Name
Class
Date
1.

Given two points (𝑥1,𝑦1) and (𝑥2,𝑦2) where 𝑥1≠𝑥2, which of the following shall be used to determine the equation of the line?

a)
b)
c)
d)
2.

What is the slope of the line 𝑥+𝑦=3?

a)

-3

b)

-1

c)

1

d)

3

3.

In the equation −3𝑥+𝑦=1, what is the 𝑦−𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡?

a)

-3

b)

-1

c)

1

d)

3

4.

What is the 𝑦−𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 of the line 2𝑥+3𝑦=−15?

a)

-5

b)

-2

c)

-2/3

d)

3

5.

Which of the following pair of points have a slope of −2?

a)

(2,4) 𝑎𝑛𝑑 (5,−2)

b)

(4,2) 𝑎𝑛𝑑 (−2,5)

c)

(2 ,5) 𝑎𝑛𝑑 (4,−2)

d)

(−2,2) 𝑎𝑛𝑑 (4,5)

6.

What is the slope (𝑚) and y – intercept (𝑏) of the equation 𝑦=2𝑥−4?

a)

𝑚 =2 𝑎𝑛𝑑 𝑏 = 4

b)

𝑚 = 4 𝑎𝑛𝑑 𝑏 = 2

c)

𝑚 = 2 𝑎𝑛𝑑 𝑏 = – 4

d)

𝑚 = – 4 𝑎𝑛𝑑 𝑏 = 2

7.

The line 𝑦−8=3/4(𝑥−4) passes through which point?

a)

(−4 ,− 8)

b)

(−4,2 )

c)

(−4,8)

d)

(3,4)

8.

What is the slope of a line if it contains the points (−2,3) 𝑎𝑛𝑑 (2,−3)?

a)

−3/2

b)

−2/3

c)

2/3

d)

3/2

9.

What is the equation of a line that passes through the points (0,5) and (2,2)?

a)
b)
c)
d)
10.

The line passes through the point (0,3) and has a slope of 2. What is the equation of a line in slope-intercept form?

a)

𝑦 = 1/2 𝑥

b)

𝑦 = 3

c)

𝑦 = 2𝑥 + 3

d)

𝑦 = 3𝑥 + 2

11.

What is the equation of a line that passes through the point (−6,1) with slope 2/3?

a)
b)
c)
d)
12.

In the equation 𝐴𝑥+𝐵𝑦=𝐶 where A and B are not equal to zero is a linear equation in what form?

a)

point- slope form

b)

slope-intercept form

c)

standard form

d)

two-point form