Slope
Slope for a linear relationship
What is constant?
OR
What is m = change in y/change in x?
An equation in slope-intercept form with a slope of 3 and a y-intercept at (0,-1)
What is y=3x - 1?
(y2-y1)=(x2-x1)
What is the slope formula?
The m, b and y-intercept of y = -(2/3)x + 7
What is m = -(2/3), b = 7 and y-intercept (0, 7)?
This is the solution to a system of equations
What is the point of intersection?
What a line with a positive slope looks like
What is a line that is sloping upwards from left to right?
An equation in slope-intercept form for a line that passes through the point (-2, -5) with a slope of -1
What is y = -x - 7?
This formula is the default form you want to simplify an equation into; some believe this is the easiest form to graph in
What is slope-intercept form?
The steps to graph an equation in slope-intercept form
What is
1. Find the m, b and y-intercept
2. Plot the y-intercept
3. Use slope triangles, m=rise/run?
The steps to solve a system of equations algebraically?
What is
1. Solve one equation for x or y
2. Substitute solved equation into other equation
3. Solve for the variable
4. Substitute value for variable into an original equation to find your other value
5. Put into point (x,y) form?
What a line with a zero slope looks like
What is a straight horizontal line?
An equation in slope-intercept form for line that passes through (-6, 1) with a slope of -5/2
What is y = -(5/2)x - 14?
Standard Form
What is Ax+By=C?
How to find the x- and y-intercepts of a function
What is
x-int: cover up y-term/substitute 0 in for y
y-int: cover up x-term/substitute 0 in for x?
The solution found algebraically for the system of equations:
4x + 5y = 7
y = -x
What is (-7, 7)?
What a line with an undefined slope looks like
What is a straight vertical line?
An equation in slope-intercept form for a line that passes through the points (-4, 6) and (-3, 14)
What is y = 8x + 38?
Point-Slope Form
y-y1 = m(x - x1)
The x- and y-intercepts of 4x - 5y = 40
What is
x-int(10, 0)
y-int(0, -8)?
The solution found algebraically for the system of equations:
4x + 9y = 22
x = y - 1
What is (1, 2)?
The slope through the points (-3, -7) and (-7, -10)
What is m=3/4?
An equation for a horizontal line that passes through (4, -2)
What is y = -2?
The rules for Standard Form
What are
1. A, B and C are integers
2. A ≥ 0?
The solution found by graphing the system of equations:
2x - 3y = -10
2x + y = -10
What is (-3, -4)?
The solution found algebraically for the system of equations:
2x + 2y = 3
x - 4y = -1
What is (1, 1/2)?