Vocab
Slope Intercept Form
Point-Slope Form
Standard Form
Parallel and Perpendicular line
100
Ax+By=C is a formula called ___
Standard form
100
Find the y-intercept of the line
y=–15/4x–18.
-18 or (0,-18)
100
A line that includes the point (4,10) and has a slope of 1/10. What is its equation in point-slope form?
y-10=1/10(x-4)
100
Rewrite the following equation in slope-intercept form.
14x + 5y = –17
y=-14/5x-17/5 or y=-2.8x-3.4
100
Is line IJ parallel to line KL
yes
200
Nonvertical lines that have the same slope and different y-intercepts
they are parallel
200
Rewrite the equation in slope intercept form
2x-4y=-19
y=1/2x+19/4 or y=0.5x+4.75
200
There is a line that includes the point (–9,3) and has a slope of –10. What is its equation in point-slope form?
y-3=-10(x+9) or y-3=-10(x--9)
200
Find the x and y intercepts of 2x + 5y = 10
The x intercept is (5,0)
The y intercept is (0,2)
200
Line s has a slope of 7/6. Line t is perpendicular to line s. What is the slope of line t?
-6/7
300
Lines that intersect at a 90 degrees angle
perpendicular lines
300
A line has a slope of –1/2 and passes through the point (–12,0). Write its equation in slope-intercept form.
y=-1/2x-6 or y=-0.5x-6
300
What is the equation of the line in point-slope form? 
y-60=1/5(x-80)
300
Rewrite the following equation in standard form.
y = –5x − 9
5x + y = -9
300
Line v passes through points (8, 10) and (3, 17). Line w is perpendicular to v. What is the slope of line w?
5/7
400
An equation of a line written using one point on the line and the slope of the line
point-slope form
400
y = -4x + 11
400
Write an equation of the line that passes through (2, −1) and (−3, 3)
y+1 = -4/5(x-2)
400
3x − 4y = −24
What is the x intercept
What is the y intercept
The x intercept is (-8,0)
The y intercept is (0,6)
400
Are the slopes y=4/1x+3 and y=4x+8 Perpendicular or Parallel
Parallel
500
Reciprocals
The slopes of 2 perpendicular lines that are negative
500
Jade has some photos in her photo album. Each week she plans to add 12 photos. After 8 weeks Jade has 120 photos. Construct an equation for the function.
y=12x +24
500
A roller coaster starts ascending 20 feet for every 30 feet it moves forward. The coaster starts at a point 18 feet above the ground. Write the equation of the line that the roller coaster travels along in point slope form and use it to determine the height of the coaster after traveling 150 feet forward. Assume the roller coaster travels in a straight line.
The equation is y-18=2/3x
the height of the coaster after traveling 150 feet forward is 118
500
Roxy has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different amounts of green and red grapes she can buy for $12 if green grapes cost $3/lb and red grapes cost $2/lb
3x+2y=12
500
John and Jane both have gift cards to a shopping mall. John's card has 20$ on it and Jane’s card has 30$ on it. For every month the two don’t use their cards, the card’s value decreases by 2$. Write two equations modeling John and Jane’s gift cards, then determine if the lines are parallel or perpendicular.
John’s card --> y=-2x+20
Jane’s card --> y=-2x+30
They are parallel