Equation of a Line WKSHT

Equation of a Line WKSHT

1. A line in the Cartesian plane has the equation 3x - 4y = 12.

What is the slope of this line?

1. In the Cartesian plane to the coordinates of the endpoints of a line segment are given as P(-7, 8) and Q(2, 48).What is the slope of line ?

1. Points A(-5, -3) and B(10, 18) are on the same line in the Cartesian plane.

What is the equation of the line passing through points A and B?

Equation of a Line WKSHT

a) 7x - 5y = -20

b)1.4x + 4y = 0

c)1.4x + 10y = 18

d) 7x + 5y = 20

Equation of a Line WKSHT #2

1. Given the equation: 8x + 6y + 12 = 0

Equation of a Line WKSHT #2

a) What is the x-intercept?

b) What is the y-intercept?

Equation of a Line WKSHT #2

1. Line 1 has and x-intercept equal to 8 and a slope equal to 3/4.

What is the y-intercept of this line?

1. Given the points A(4, 32) and B(0, 12), determine:

a)the slope of line AB:

b)the y-intercept of line AB:

1. A pool must be emptied for repairs. The following graph shows the amount of water remaining in the pool as a function of the time elapsed since an attendant began draining it.

What is the slope (rate of change) of the line?

1. The x-intercept of a line is -5 and its y-intercept is 2. Which equation can be used to represent this line?

1. The slope of a linear function is -4 and its y-intercept is 1.

Which of the following graphs represents this function?

A) / / C) /
B) / / D) /

1. Two perpendicular lines both pass through the point (6, 0).

One of these lines is defined by the following equation: x – 3y – 6 = 0

What is the equation of the other line?

1. Line 1 has the equation y = -2x + 5. Line 2 is parallel to line 1 and passes through the point (13, 27). Which of the following is the equation of line 2?

1. Lines L1 andL2 are parallel. The equation of L1 is y = -x + 9. Line L2 passes through the origin of the Cartesian plane.What is the equation of L2?

1. Line AB represented in a Cartesian plane has as its equation 2x + y 5 = 0. Line CD, which is perpendicular to line AB, passes through the point (2, 4).

What is the equation of line CD?

A) / 2x + y 8 = 0 / C) / x 2y + 6 = 0
B) / x + 2y 10 = 0 / D) / 2xy = 0

1. Three linear equations are shown below.

1:

2:

3:

Which of the following statements is TRUE?

A) / Two lines are parallel, and the remaining line is perpendicular to both of these.
B) / Two lines are perpendicular, and no lines are parallel.
C) / Two lines are parallel, and no lines are perpendicular.
D) / No lines are parallel, and no lines are perpendicular.

1. Two perpendicular lines intersect at point P(12, 56) as shown on the Cartesian plane below. The equation of one of the lines is represented by .What are the coordinates of point B?

1. The streets of Smalltown are represented in the Cartesian plane below.

Little Street passes through the point (25, 20) and has a y-intercept of 30.

Tiny Street is parallel to Little Street and has a y-intercept of 10.

The endpoints of Tiny Street are at its x-intercept and y-intercept.

How many metres long is Tiny street? The graph is scaled in metres.

1. Mayor Turriff wants to pave a new street to be named Polaris St.

The street must be perpendicular to Kolyma Avenue and pass midway between the school and the grocery store (see diagram below).

What is the equation of the line that represents Polaris St.?