Forms of Linear Equations

Slope

100

What is the slope formula?

m = (y2 - y1)/(x2 - x1)

200

If the points (2, 3) ane (4, 7) are given, what is the slope of the line?

2

300

Explain what a slope of 0 means in relation to a line.

The line in horizontal and does not rise or fall as it moves from left to right.

400

If a line has a slope of -3, what does this tell you about the direction of the line?

This line has a negative slope and it goes down as you move from left to right. It moves down 3 units, right 1 unit.

500

Find the value of y so that the points (-2, 5)and (8, y) lie on a line with slope -1/5.

3

Slope-Intercept Form

100

What is slope-intercept form of a linear equation?

y = mx + b

200

Identify the slope and the y-intercept of the equation y = 2x + 5

m = 2

b = 5

300

What is the equation of a line with a slope of 1 and a y-intercept of -4?

y = x - 4

400

What is the equation that describes the line with a slope of 5 that contains point (-2, 4)?

y = 5x + 14

500

What is the equation of a line that has a y-intercept of 4 and passes through the point (7, 4)?

y = 4

Point-Slope Form

100

What is point-slope form of a linear equation?

y - y1 = m(x - x1)

200

Write the point-slope form of a line with a slope of 3 that passes through the point (2, 5).

y - 5 = 3(x - 2)

300

Identify the point and slope from the equation y + 2 = 1/2(x - 3).

m = 1/2

point = (3, -2)

400

What is the equation of a line in point-slope form equivalent to y = 5x + 19 that goes through the point (-5, 4)?

y - 4 = 5(x + 5)

500

A line passes through the points (-3, 7) and (-8, 11). What is the equation in point-slope form?

y - 7 = -4/5(x + 3)

OR
y - 11 = -4/5(x + 8)

Standard Form

100

What is standard form of a linear equation?`

Ax + By = C

200

What is the x-intercept of the equation 2x + 3y = 6?

3

300

What is the y-intercept of the equation 3x - y = -4?

4

400

What is the x- and y-intercepts of the equation -5x + 6y = 60?

x = -12

y = 10

500

If the equation of a line is 4x - 2y = 8, what is the slope?

2

Converting Forms

100

What is y - 4 = 5(x + 3) in slope-intercept form?

y = 5x + 19

200

What is y = 2/3x - 5 in point-slope form if it goes through point (3, -3)?

y + 3 = 2/3(x - 3)

300

What is 5x + 2y = 10 in slope-intercept form?

y = -5/2x + 5

400

What is y = 3/4x - 5 in standard form?

3x - 4y = 20

500

What is y - 2 = -3(x + 4) in standard form?

3x + y = 10