Algebra 1 Unit 5 Linear Functions

Find the y-intercept of the equation y-2=2(x-5)

(0,-8)

Find the y-intercept of the equation 6x+3y=12

(0,4)

Find the x-intercept of the equation 6x+3y=12

(2,0)

Find the x-intercept of the equation y-2=2(x-5)

(4,0)

How do you write the equation for a vertical line?

x = some number

To find the y-intercept, you replace _____ with ____ and solve for ____.

x, 0, y

How do you write the equation for a horizontal line?

y = some number

To find the x-intercept, you replace ____ with ____ and solve for _____

y, 0, x

Write an equation in point-slope form that goes through the point (1,2) and has a slope of -1/2

y-2=-1/2(x-1)

Write an equation in point-slope form that goes through the points (-5,2)(0,7)

y-2=1(x+5) or y-8=1(x-0)

What is point slope form?

y-y=m(x-x)

Write an equation of a line that is perpendicular to the line y=2x+8 and goes through the points (4,6)

y=(-1/2)x+8

Write the equation in slope intercept form: 6x+3y=12

y=-2x+4

Write the equation in slope intercept form: -2x+2y=10

y=x+5

Formula to find slope

(y-y)/(x-x)

What is the y-intercept of the line y=-5

-5

What is the slope of a horizontal line?

0

Find the slope of the line that passes through the points (2,-1)(-3,-4)

3/5

Slopes of parallel lines are _________________.

Equal

What is slope-intercept form?

Form for a linear equation: y = mx + b "m" represents the slope of the line "b" represents the y-intercept of the line

Describe how you would graph the line y=7

Horizontal line through the y-axis at 7.

Determine whether the lines are parallel, perpendicular or neither. y-2=2(x-5) y-4=-2(x+5)

Neither. Slopes are NOT equal. Slopes are NOT opposite reciprocals.

Determine whether the lines are parallel, perpendicular or neither. y=-x+3 y=x-4

Neither. Slopes are NOT equal. Slopes are NOT opposite reciprocals.

Describe how you can determine from their equations if two lines are parallel or perpendicular WITHOUT graphing the lines.

Parallel lines have the same slope and perpendicular slopes are opposite reciprocals.

Determine whether the lines are parallel, perpendicular or neither. y=3x+4 y=3x-4

Parallel. Slopes are equal

Determine whether the lines are parallel, perpendicular or neither. y=-1/3x+7 y=3x-2

Perpendicular. Slopes are opposite reciprocals

Describe how you would graph the line y=-2x+3

Plot the y-intercept of (0,3) first, then count the slope, rise -2, run 1.

Describe how you would graph the line y-3=4(x+1)

Plot the y-intercept of (0,7) first, then count the slope, rise 4, run 1.

What is the y-intercept of the line x=3

There is no y-intercept

What is the slope of a vertical line?

Undefined

Describe how you would graph the line x=-4

Vertical line through the x-axis at -4

What is the slope and y-intercept of the line y-2=5(x-1)

m=5 b=-3

Slopes of perpendicular lines are ______________________ ___________________.

opposite reciprocals

Write an equation of a lines that is parallel to the line y=7x-3 and goes through the point (5,-2)

y=7x-37