Slope-Intercept Form
Point-Slope Form
Parallel/Perpendicular
Direct/Inverse Variations
FINAL Jeopardy!!!
100
What is the equation for the slope-intercept form?
y = mx + b
100
Given the information, write the point slope formula.
POINT: (2, 1)
m = 2
y − 1 = 2(x − 2)
100
Two Linear lines are PARALLEL when they have the ______.
SAME SLOPE
100
How do you find k for a Direct Variation?
k = y/x
200
What letter does the b represent in the slope-intercept equation?
b is the y-intercept.
200
Write the equation in slope-intercept form:
y = −x − 4
200
What is the perpendicular slope of
m = -7/14
m = 2
200
y varies directly as x, and y = 72 when x = 8. Write a direct variation equation that relates x and y.
y = 9x
300
Write an equation that passes through the two lines
(3, 1), (0, 10)
y = −3x + 10
300
Write an equation that passes through the two points:
(−5, 19), (5, 13)
y = −3/5x + 16
300
DOUBLE JEOPARDY!!!!
Which lines are parallel?
Line a passes through (−1, −2) and (1, 0).
Line b passes through (4, 2) and (2, −2).
Line c passes through (0, 2) and (−1, 1).
lines a and c.
They have the same slope of 1.
300
y varies directly as x, and y = 98 when x = 14. Write a direct variation equation that relates x and y.
y = 7x
500
Write an equation given the graph below:
y = 1/3 x + 2
500
DOUBLE JEOPARDY!!!
Write a linear function (f(x)) using the following:
f(−10) = 4, f(−2) = 4
f (x) = 4
500
Write an equation of the line that passes through the point and is parallel to the given equation:
(1, 2); y = −5x + 4
y = −5x + 7
500
DOUBLE JEOPARDY!!!
If y varies inversely as x, and y = 6 when x = 4/3, write an equation describing this inverse variation.
y= 8/x
1000
DOUBLE JEOPARDY!!!
What is the equation of the line given the information:
f (x) = −2x + 1
1000
Does the data table below represent a linear function? If it does, what is the equation?
yes, y decreases at a constant rate by 6
y = −3x + 7
1000
Write the equations of the line that are parallel & perpendicular to the given graph:
Parallel Line:
y = −4x + 19
Perpendicular Line:
y = 1/4 x + 2
1000
DOUBLE JEOPARDY!!!
A car’s value varies inversely with its age. Elena bought a two-year-old car for $20,000.
- Write the equation of variation.
- What will be the value of Elena’s car when it is 5 years old?
- v = 40000/x
- $8,000
2000
FINAL JEOPARDY!!!
Determine how much you want to bid and write it along with your answer.
You will have 5 minutes to answer the question.
A city water department is proposing the construction of a new water pipe, as shown. The new pipe will be perpendicular to the old pipe. Write an equation that represents the new pipe.
y = −3/4x + 3/2