Slope Quiz
For the equation y - 3 = 2(x + 4),the line has a slope of 2 and contains what point? (-4, 3) (3, -4) (-3, -4) (-4, -3)
(-4, 3)
Y intercept is the point....
(0,b)
Find the slope of a line with an x intercept of 8 and y intercept of 3
(8,0) (0,3) 3-0/0-8 = 3/-8
What is the slope of a line parallel to the line through (-1,4) and (5,2)
-1/3
Which of the following lines is PARALLEL to the graph of 5x + 2y = 8? 2x + 5y = 8 5x - 2y = 6 -10x - 4y = 7 -10x + 4y = 9
-10x - 4y = 7
Equation of table. x:-5,-3,-1,1,3,5 y:14,0,-14,,28,-42,-56
-14/2=-7 0=21+b y=-7x-21
Determine if the points are collinear: (-1,3) (4,6) (1,9)
-3/5 is NOT equal to -3/3; not collinear
Slope for standard form
-a/b
Graph the 2 equations x=-9/2 y= square root of 8
2.83 (y) and -4.5 (x)
Graph the equation (use intercept method) 7x-3y=21
3,0 and 0,-7
Find the x and y intercepts and graph. 5x+3y=30
5x=30 3y=30 (6,0) and (0,10)
General linear of standard form equation
Ax+By=C Ex: 5x+3y=30
You _______ have ___ as a denominator.
Cant; zero
The slope gives you ________ for how to _______ a line.
Directions; graph
2y=8.4-6.8x into slope intercept form.
Divide both sides by 2 to get y=4.2-3.4x
Collinear
Have the same slope
Negative reciprocal slopes for perpendicular angles are....
If the slope is -2/3 you reciprocal it and add a negative sign to it. The slope would be 3/2.
Standard form only has _________
Integers
Negative slope = ____________ Pos. slope = ____________
Negative = decrease Positive = increase
Lines that slant downward from left to right have a _______________ ______________.
Negative slope
Determine if these are collinear: (3,5) (5,8) (13,21)
No because 3/2 is not equal to 13/8
If a line on a graph is shaped like a u is it in the form of y=mx+b?
No because y does not change at a constant rate.
The equation for a line is y=2/3x - 8. Another line passes through points (-5,9) and (-3,6). Are these lines parallel?
Not parallel. 2/3 is not equal to (3/-2)
______ lines have the same slope however they have different ___ ____________.
Parallel; y intercepts
Write an equation for the following points... (2,6) (0,-2) (-2,-8)
Pick points, find m: change in y/x = 4 Find b y=4x+b 6=8+b b=-2 y=4x-2
Lines that slant upward from left to right have a __________ _____________.
Positive slope
Perpendicular lines intersect at _______ _________
Right angles
In the equation y=-5x+8 Slope(m): Y Intercept(b): Find another point.
Slope(m): -5 Y Intercept(b): (0,8) (1,3) --> slope is -5/1, this tells you to move down 5 and right one
x: -2,0,2,3,4 y: 7, 17, 27, 32, 37 Write an equation for the table.
Solve for slope Change in y/x: 17-7 over 0--2 which is 5 Solve for b 32=5(3)+b b=17 Write equation in slop intercept form. y=5x+17
________ lines have a higher number for slope (________ or _________)
Steeper; positive or negative
Solve for y 5x+3y=30
Subtract 5x from both sides 3y = 30-5x Divide by 3 y=10-5/3x
In equations in the form x=a, the slope is...
Undefined.
In equations in the form y=b, the slope is....
Zero
When y=b it forms a __________ line
horizontal
The change in x tells you how much to move ____ ( ) or ______ ( )
left (neg) or right (pos)
Slope formula
m = (y2 - y1) / (x2 - x1)
What is the slope and y intercept in y=-x+7
m=-1 b=7
Find the value of n so the points are collinear: (-2,5) (6,n) (3,8)
n=9.8 (proportion and cross product)
The change in y tells you how much to move ___ ( __) or _______ (___)
up (pos) or down (neg)
When a=x it forms a __________ line
vertical
Find x and y intercept 2x+3y=6
x=3 y=2
Find x and y intercept 7x+14y=28
x=4 y=2
Equation of the line. (0,7) (5,4)
y=-3/5x+7
Which of the following represent a line with a zero slope? x = 5 y = 5 x = 0 all of the above
y=5
Slope intercept form equation
y=mx+b
An airplane is flying at an altitude of 50,000 ft and begins descending at a rate of 1500 feet per minute. If the plan continues to descend at a constant rate, how long until it reaches the ground? Write an equation in slope intercept form.
y=mx+b 0=50,000-1500x -50,000=-1500x 33 1/3 minutes
