Drawing a Line Using Slope and a Point

A number that can be calculated using any two points on a line. To find it, you would divide the vertical distance between the points by the horizontal distance.

(a)  

Answer explanation

The slope of a line is a number we can calculate using any two points on the line. To find the slope, divide the vertical distance between the points by the horizontal distance.

The slope of this line is 2 divided by 3 or 2/3.

Tags

CCSS.8.EE.B.5

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

• y - 5 = 2(x + 3)

• y + 5 = 2(x - 3)

• y - 3 = 2(x + 5)

• y + 3 = 2(x - 5)

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

• -1

• 1

• -3

• 5

What is the equation in Point-Slope form of the line that goes through the point (6,1) and has a slope of -3?

• y - 6 = -3(x - 1)

• y + 6 = -3(x + 1)

• y - 1 = -3(x - 6)

• y + 1 = -3(x + 3)

Write the equation of the line with slope 3/5 through the point (20, 6).

• y = 3/5x - 6

• y = 3/5x +18

• y = 3/5x - 18

• y = 3/5x +6

Write the equation
y = mx + b
m = -1
(-2, 4)

• x = -2

• y = 4x - 2

• b = 2

• y = -1x + 2

Write the equation of the line with slope 4 through the point (-2, 5).

• y = 4x - 13

• y = 4x + 13

• y = 4x - 3

• y = 4x + 3

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

• (-4, 3)

• (3, -4)

• (-3, -4)

• (-4, -3)

For the equation y - 3 = 2(x + 4), the line has a slope of 2 and contains what point?

• (-4, 3)

• (3, -4)

• (-3, -4)

• (-4, -3)

For the equation y - 3 = 2(x + 4), which of the following is true?

• The line has m = 2 passing through the point (4, -3)

• The line has m = 2 passing through the point (3, -4)

• The line has m = 2 passing through the point (-4, 3)

• The line has m = 2 passing through the point (-3, 4)