Slope-Intercept Form
y=mx+b
What is point-slope form of a linear equation?
y-y1=m(x-x1)
What is the formula for Standard Form of a linear Equation
Ax+By=C
Parallel lines are lines that have the same _______.
Slope
Is {(2,5), (3,4), (1,9) (2,8) (6, -7)} a function?
No, 2 repeats
What is the slope of the line y=-2x+9
m=-2
What is the slope of the following equation
y-8=6(x+2)
m=6
The constants of the Standard Form of a linear equation must be _____________
Integers
Write an equation of a line that is parallel to y=3x+9
y=3x+b
Is { (−2, 2), (−3, 1), (5, 1), (8, 12) } a function?
Yes
What is the slope of the line y=-7/8x-9
m=-7/8
What is the slope of the following equation
y-160=40(x-1)
m=40
In standard form, A must be greater than or equal to what numbers (write your answer as an inequality)
A>0 (with a line underneath >)
Write an equation of a line that is perpendicular to y=-9/4x+7
y=4/9x+b
The absolute minimum is the ____________ point on the graph
Lowest point
Slope can be described as _________ over ___________
rise over run
Is the slope of the line rising of descending?
y-160=40(x-1)
Rising
What two points can you find easily using standard form?
The x-intercept and the y-intercept
Perpendicular lines are lines that have slopes that are the opposite ________________
Opposite Reciprocal
Find f(2) if f(x)=x2+3x-7
3
Write the following equation in slope-intercept form
y-9=2(x+3)
What two pieces of information do you need to write the equation of a line in point-slope form?
A point and the slope
-8x+0.5y=9
No; A is not positive, and B is not an integer
To find the perpendicular slope of a line, we do two steps, what are they?
1. Flip the sign
2. Flip the fraction
Describe the transformation of the graph g(x)=(x+3)3-7
Left 3 and down 7