The line shown in the graph below can be represented by the equation y =
+ .
Which of the following is the equation for a line that is perpendicular to this line, passing
through the point (6, 4)?
A.y = + 4
B.y = − + 8
C.y = + 4
D.y = − + 8
MA.912.A.3.10: Write an equation of a line given: two points on a line, the slope and one
point on a line, or its graph. Also find the equation of new line parallel or perpendicular
to a given line
Rod is a professional archer who always hits the bull's eye or the ring next to the bull's eye.
The chart below shows the number of points, p, he will score when shooting 20 arrows,
based on the number of bull's eyes, b, that he hits. Which equation represents the
information shown on the graph?
A. p = 160 + 5b
B. p = 160 − 5b
C. p = 160 + 2b
D. p = 160 − 2b
MA.912.A.3.10: Write an equation of a line given: two points on a line, the slope and one
point on a line, or its graph. Also find the equation of new line parallel or perpendicular
to a given line
Robert sharpened pencils for the school math contest. He sharpened 8 pencils in
2 minutes and 32 pencils in 8 minutes.
If he continues at the same rate, which equation can be used to predict the
number of pencils he can sharpen in 30 minutes? Let p represent the number of
pencils and t represent the number of minutes.
A. p + t = 30
B. 4t = p
C. 8p = 3t
D. = 4
MA.912.A.3.10: Write an equation of a line given: two points on a line, the slope and one
point on a line, or its graph. Also find the equation of new line parallel or perpendicular
to a given line
In an isometric drawing, parallel edges of a three-dimensional object are represented
as parallel lines when the object is drawn in two dimensions. In the isometric drawing
of the cube below, line is drawn to form one edge of the cube. The equation y = x + 3
can be used to represent line .
Line k is then drawn to form a parallel edge of the cube, passing through (5, 4).
Which of the following shows the equation for line k?
A. y = x − 1
B. y = −x + 1
C. y = x + 5
D. y = −x − 5
MA.912.A.3.10: Write an equation of a line given: two points on a line, the slope and one
point on a line, or its graph. Also find the equation of new line parallel or perpendicular
to a given line
Line s passes through the points (2, 7) and (6, 1). Line t passes
through the point (5, 2) and is perpendicular to line s. What is
the equation for line t?
A.
B.
C.
D.
y= −
y= −
y=− +
y=− +
MA.912.A.3.10: Write an equation of a line given: two points on a line, the slope and one
point on a line, or its graph. Also find the equation of new line parallel or perpendicular
to a given line
The line shown in the graph below can be represented by the equation 3x + 4y = 17.
Which of the following is the equation for a line that is perpendicular to the one in
the graph and passes through the point (3, 2)?
A. y = −
B. y = −
C. y =
D.y =
+4
+2
−2
−2
MA.912.A.3.10: Write an equation of a line given: two points on a line, the slope and one
point on a line, or its graph. Also find the equation of new line parallel or perpendicular
to a given line
The total cost to park a car in a parking garage that has an entry fee of $4 can be
determined by using the equation
c = 2h + 4
where c is the total cost and h is the number of hours the car is in the garage. The garage
informed Robert that the entry fee had changed and that his bill for parking his car for 6
hours is $20.
Which equation models the cost to park his car for h hours with the new entry fee?
A.
B.
C.
D.
c = 2h + 20
c=h+6
c = 2h + 8
c = h + 14
MA.912.A.3.10: Write an equation of a line given: two points on a line, the slope and one
point on a line, or its graph. Also find the equation of new line parallel or perpendicular
to a given line
Justin measured the flow of water through a hose. He recorded that 6 gallons of
water flowed in 3 minutes and 42 gallons of water flowed in 21 minutes.
If the rate of flow stays the same, which equation can be used to predict the number
of gallons of water flow in 56 minutes? Let g represent the number of gallons of
water and t represent the number of minutes.
A. g + t = 56
B. gt = 56
C. g = 2t
D. = 2
MA.912.A.3.10: Write an equation of a line given: two points on a line, the slope and one
point on a line, or its graph. Also find the equation of new line parallel or perpendicular
to a given line