Algebra Chap 4 review

In the equation y = −2x − 6, the slope is ________________

−2

In the equation, y = −2x − 6, the y intercept is _____________

−6

Determine whether the lines are parallel, perpendicular, or neither: . . . . . . . . . . . . . . . . . 2x + 5y = 15 and 3x + 5y = 15

Neither

Determine whether the lines are parallel, perpendicular, or neither: . . . . . . . . . . . . . . . . . y = −2x and 2x + y = 3

Parallel

Determine whether the lines are parallel, perpendicular, or neither: . . . . . . . . . . . . . . . . . 3x + 5y = 10 and 5x − 3y = −6

Perpendicular

Describe how you would graph y = 1/3 x + 2 using the slope and the y interept.

Put a dot on the y-axis on the number 2. Count a slope of 1/3 by going up 1 and right 3 or down 1 and left 3. Count the slope two or three times and then draw the line.

What form should you put lines in to determine if they are parallel, perpendicular, or neither?

Slope intercept form

What is true about the slopes of perpendicular lines?

The product of slopes of perpendicular lines is −1. (Slopes of perpendicular lines are opposite reciprocals)

What is true about the slopes of parallel lines?

The slopes of parallel lines are the same

Write the equations for two lines that are parallel.

There are many answers. An example would by y = 2x and y = 2x + 7.

Write the equations for two lines that are perpendicular.

There are many answers. An example would by y = 2x and y = −1/2 x + 6. The product of the two slopes has to be −1

What is true about any horizontal line and a vertical line?

They are perpendicular

Write the equation in standard form: y − 10 = −(x − 2)

x + y = 12

The point slope form of a linear equation is ________

y - y1 = m(x − x1)

Given the point (1, 3) and (−3, −5), write the equation in slope intercept form

y = 2x + 1

Write an equation in slope intercept form for the line that passes through (−1, −2) and is parallel to 3x − y = 5.

y = 3x + 1

Write an equation in slope intercept form for the line that passes through (−2, 2) and is perpendicular to y = −1/3 x + 9.

y = 3x + 8

Write an equation in slope intercept form for the line that passes through (10, 5) and is perpendicular to 5x + 4y = 8.

y = 4/5x − 3

Given the point (1, 9) and the slope 4, write the equation in slope intercept form

y = 4x + 5

Write the equation in slope intercept form:. . . y + 2 = 4(x + 2)

y = 4x + 6

The slope intercept form of a linear equation is ____

y = mx + b

Write an equation in slope intercept form for the line that passes through (3, 2) and is parallel r to y = x + 5.

y = x − 1

Write the equation in slope intercept form: 2x + 4y = 12

y = −1/2x + 3

Look at the graph for problem #12 on page 218. What is the equation in slope intercept form?

y = −1/5 x + 1

Look at the graph for problem #14 on page 218. What is the equation in slope intercept form?

y = −2 x + 3

Look at the graph for problem #34 on page 219. What is the equation in slope intercept form?

y = −4/7 x − 2

Given the point (2, 2) and m = −3, write the equation in point slope form

y − 2 = −3(x − 2)

Look at the graph for problem #40 on page 235. Write the equation in point slope form

y − 3 = 4(x − 1)

Given the point (−8, 5) and m = −2/5, write the equation in point slope form

y − 5 = −2/5(x + 8)

Look at the graph for problem #42 on page 235. Write the equation in point slope form

y − 7 = −4/3(x + 3)

In the equation, y = mx + b, the b stands for _____________

y-intercept

Write the equation in standard form: y − 11 = 3(x − 2)

3x − y = −5

In the equation y = 3x + 7, the slope is _______________

3

In the equation y = 3x + 7, the y intercept is _______________

7