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WorksheetsPoint-Slope and Slope-Intercept
Total questions: 27
Worksheet time: 2hrs 5mins
Name
Class
Date
1.
Identify the y-intercept of the equation:
y = 2x - 4
y = 2x - 4
a)
b = 4
b)
b = -4
c)
b = 2
d)
b = -2
2.
Write an equation in point-slope form that goes through the points (4, 7) and (5, 1)
a)
y + 1 = 6(x+5)
b)
y + 4 = -2 (x-7)
c)
y - 1 = -6(x-5)
d)
y - 1 = -6/2(x+5)
3.
What is the slope in the equation: y = 4x + 3
a)
3
b)
4x
c)
4
d)
3x
4.
Write the equation of the line in slope-intercept form that passes through the point (1, -1) and has a slope of -4.
a)
y = -4x + 3
b)
y = -4x - 3
c)
y = -4x + 5
d)
y = -4x - 5
5.
What is the standard form of an equation?
a)
y = mx+b
b)
ax+by=c
c)
y2-y1/x2-x1
d)
y-y1=m(x-x1)
6.
Identify the x and y intercepts
4x - 5y = 40
4x - 5y = 40
a)
x intercept is 10
y intercept is 8
y intercept is 8
b)
x intercept is 10
y intercept is 20
y intercept is 20
c)
x intercept is 8
y intercept is 10
y intercept is 10
d)
x intercept is 10
y intercept is -8
y intercept is -8
7.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
8.
Which of these represents point-slope form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
9.
Find the slope between the points (3,-9) and (3,5).
a)
-14/1
b)
4/6
c)
1/14
d)
undefined
10.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
11.
Write an equation that represents the graph in slope-intercept form.
a)
y=2x+7
b)
y=-3x-5
c)
y=2x-1
d)
y=2x+6
12.
Write an equation that represents the graph in slope-intercept form.
a)
y=2x+7
b)
y=-3x-5
c)
y=2x-1
d)
y=2x+6
13.
Write an equation that represents the graph in slope-intercept form.
a)
y= 3/4 x + 3
b)
y= 1/2 x +3
c)
y= 2x+3
d)
y=2x-7
14.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
15.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
16.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
17.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
18.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
19.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
20.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
a)
C = 5h + 3
b)
C = 3h + 5
c)
H = 5c + 3
d)
H = 3c + 5
21.
Identify the y-intercept:
y = -⅗x + 8
y = -⅗x + 8
a)
-3
b)
5
c)
8
d)
-8
22.
Write the equation in slope-intercept form (solve for y):
2y = 10x + 14
2y = 10x + 14
a)
y = 10x + 12
b)
y = 10x + 7
c)
y = 5x + 14
d)
y = 5x + 7
23.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
24.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
25.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
26.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
27.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
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