Slope
What is the formula to find slope?
y2-y1/x2-x1
What is slope/intercept form?
y=mx+b
What is a linear function?
A straight line
Does this have one, none, or infinite solutions? Explain 5x-7=4x-1
Consider the equation 3x-4=ax+b. What are the values for a and b so that the equation has INFINITE solutions
Find the slope of the points (1,2) & (4,5)
3/3 or 1
Put the equation in slope/intercept form. 2x=y+3
y=2x-3
Is this a linear or nonlinear function? y=3/x
Nonlinear
Does this have one, none, or infinite solutions? Explain 6(7x+7)=7(6x+6)
Infinite because 42=42
Consider the equation 3x-4=ax+b. What are the values for a and b so that the equation has NO solutions
B= any value other than -4
What is the rate of change of the points (-3,1) (-5,4)
-3/2
Put the equation in slope/intercept form. 5x+5y=15
y=-x+3
Is this a linear or nonlinear function? y=6.4
Linear (y=0x+6.4)
Does this have one, none, or infinite solutions? Explain 2x+1 = 2x-1
None. 1 does not = -1
Consider the equation 3x-4=ax+b. What are the values for a and b so that the equation has ONE solution?
A= any value other than 3
b= any value
Which has a larger slope? y=3x+6; y=7x+9; (5,1) (4,-3). What is the slope?
y=7x+9 Slope = 7
Put the equation in slope/intercept form: 3x+4y+x=2x+16
y=-2/4x+4
Is this a linear function? x-y=4x-2
Linear: y=-3x+2
Does this have one, none, or infinite solutions? Explain -3(2x-3) = -6x+9
infinite; 9=9
Consider the equation 2(3x-4)=ax+b What are the values for a and b so that the equation has INFINITE solutions
a=6 b=-8
What is an equation with a greater rate of change than y=3x+15
any value with m greater than "3"
Is this a linear function? x: (3, 5, 7, 9) y:(10,13,17,22) Why yes or no
No: the values in Y do not change in a uniform manner