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WorksheetsGrade 10 End of Week 20 Assessment.
Total questions: 20
Worksheet time: 19mins
(in the form y = mx + c)
A straight line has the equation −15𝑥+3𝑦−12=0. What is the slope (gradient) of the line?
(a)
Find the slope (gradient) of the line −2𝑥+3𝑦−2=0 and the 𝑦-intercept of this line.
−32,1
32,32
23,23
−32,23
Determine, the equation of the line which has a slope of 8 and a 𝑦-intercept of −4.
𝑦 = 𝑥 − 4
𝑦 = 8𝑥 + 4
𝑦 = 8𝑥 − 4
𝑦 = −4𝑥 − 8
𝑦 = −4𝑥 + 8
Determine the equation of the line passing through 𝐴(0,16) and 𝐵(1,−9)
𝑦 = −25𝑥 − 16
𝑦 = 𝑥 − 25
𝑦 = 16𝑥 + 25
𝑦 = 16𝑥 − 25
𝑦 = −25𝑥 + 16
The points in this table lie on a line. Find the equation of the line.
y=−75x−1
y=−23x−15
y=−57x−75
y=−57x−1
y=−75x−75
Which of the following graphs represents the equation 𝑦 = −5𝑥−2?
Write the equation represented by the graph shown. Give your answer in the form 𝑦 = 𝑚𝑥 + 𝑏.
y=32x−4
y=−23x+4
y=−32x−4
y=−23x−4
y=23x−4
Select all the points lie on the line 𝑦 = 5𝑥 − 7?
(2,-3)
(2,3)
(-3,-22)
(-3,22)
Find the equation of the line with 𝑥-intercept 3 and 𝑦-intercept 7, and calculate the area of the triangle on this line and the two coordinate axes.
y=−37x +7 ,area of triangle = 10.5 square units
y=−73x +7 ,area of triangle = 21 square units
y=103x −7 ,area of triangle = 10.5 square units
y=−37x +7 ,area of triangle = 21 square units
A(3.75, 0)
B(0,5)
A(3.75, 5)
B(0,5)
A(0,3.75)
B(0,5)
A(3.75,0)
B(5,0)
The graph relates temperature y
(in degrees Fahrenheit) to altitude x
(in thousands of feet).
What is the temperature at sea level?
(write the numeric answer only, leave out the units)
(a)
A window cleaner takes 15 minutes to clean each window in a large building
they charge £9 per hour and a call-out charge of £12.
what is the payment due for cleaning 20 windows?
(write the answer only without the unit)
(a)
A window cleaner takes 15 minutes to clean each window in a large building
they charge £9 per hour and a call-out charge of £12.
For a large building, the cost of window cleaning was £129 how many windows were cleaned?
(write the answer only without the unit)
(a)
State the gradient of a line which is parallel to one of gradient
132
−132
−1
−213
Given A ( 5, 2 ) and B ( 1, 10 ).
Find the gradient of line AB.
2
−2
21
−21
Given A ( 5, 2 ) and B ( m, 8 ).
Find the value of m, if the gradient of line AB is −43
−2
−3
−4
−5
If the gradient of a straight line is 2 and the y-intercept is -18, determine x-intercept.
0
3
6
9
1. The straight line, P, passes through the points (0,3) and (2,5)
b. What is the y-intercept of line P
0
-3
3
2
