Line a has the equation y=(3/5)x+5 and line b has the equation y=(5/3)x+7. Are they parallel, perpendicular, or neither?
Neither
Given the following information, would you write the equation in POINT-SLOPE FORM, or SLOPE-INTERCEPT FORM
slope: -5, y intercept: 3
SLOPE-INTERCEPT FORM
Find the x-intercept and y-intercept for the following linear function. -5x-2y=20
x-intercept (-4,0) y-intercept (0,-10)
Write the equation of a line that passes through points (-5,-6) and (0,5). You must write your answer in slope-intercept form.
y=(11/5)x+5
Write the equation of a line that passes through (8,0) and is perpendicular to the line y=3x-6
(y-0)=(-1/3)(x-8) or y=(-1/3)(x-8)
Given the following information, would you write the equation in POINT-SLOPE FORM, or SLOPE-INTERCEPT FORM
slope: 2/5 and the point (2, -3)
POINT-SLOPE FORM
Write the equation of a line that passes through (8,0) and is parallel to the line y=3x-6
(y-0)=3(x-8) or y=3(x-8) or y=3x-24
If f(x)=2x+4, and then we transform it by doing f(x)-3, describe how the graph will change.
It is a vertical shift down. The y-intercept will be different, and the whole graph will be 3 units "lower".
Write a linear equation for the graph given
y=x+2
Using the graph below, at what time is the water in the tank only 3 feet deep?
4 PM
Using the graph to determine when f(x)=1 and the value of f(1)
f(x)=1 when x=-1, and f(1)=3
Write the equation of the line that passes through points (2,-3) and (4,5). Your answer must be in slope-intercept form.
y=4x-11
Find the slope, and y-intercept y-4=(1/3)(x+12)
Slope, m=1/3. y-intercept, b=(0,8)
A new vampire joins a coven and altogether they number 13. Over the next 3 days, they turn 18 more vampires (a) Write a linear equation for this situation, (b) Determine how many vampires will be in the coven after 23 days.
(a) y=6x+13 (b) 151 vampires
Line a has the equation y=(2/3)x+5 and line b has the equation y=(-3/2)x+7. Are they parallel, perpendicular, or neither?
Perpendicular
Given the following information, would you write the equation in POINT-SLOPE FORM, or SLOPE-INTERCEPT FORM
(2,-3) and (0,5)
EITHER
Find the slope, and y-intercept y=(-2/3)x+4
slope, m=-2/3. y-intercept, b=(0,4)
If you order a pizza, delivery is going to cost you 8.50, and then .50 cents for every topping you order. Write a linear model (equation). What is the cost if you get a pizza with three toppings?
y=0.5x+8.5 and $10.
Line a has the equation y-8x=5 and line b has the equation y=(-1/8)x+7. Are they parallel, perpendicular, or neither?
Perpendicular
Find the x-intercept and y-intercept for the following linear function. x-y=7
x-intercept (7,0) and y-intercept (0,-7)
Decide whether the data in each table is linear. If it is, write a linear equation in slope-intercept form to model it.
y=(4/3)x+9
Decide whether the data in each table is linear. If it is, write a linear equation in point-slope form to model it.
Slope is zero. Points may vary.
Find the x-intercept and y-intercept for the following linear function. 4x-12y=24
x-intercept (6,0) y-intercept (0,-2)
Write a linear equation for the graph given.
y = (-3/2)x + 3
Your friend says that the answer to finding the x and y intercept for 2x+3y=6 is (3,2). Are they correct?
No. The correct answer is (3,0) and (0,2)
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