Vocabulary
An equation of the form y=mx+b
What is an linear equation?
using the formula y2 - y1 divided by x2-x1
How can you find the slope of a line from two points?
how steep the slope is
What part of the graph shows how quickly the data changes?
The point where two lines on a graph intersect
What does the solution of a solved system of equations represent?
when there is two equations on a graph the you can visually see where they intersect
When can you use the graphing method of solving systems of linear equations?
Represented by the variable m
What is the slope of a linear equation?
This tells us where to put the point on the y axis.
What is b in the slope intercept form of the linear equation?
A vertical line
What is the result of an undefined slope?
two straight lines will have either one intersection, no intersections, or infinitely many intersections.
What is the number of intersecting points two lines on a graph can have?
when it is easy to solve for a single variable
When is is easier to use the substitution method of solving systems of equations?
A mathematical phrase that contains numbers, operations, and/or variables (but no = sign). Example: 5x + 4y + 5 - 2x
What is an expression?
The variable next to the slope of the line
What is the x part of the slope intercept form?
a horizontal line
What is the result of a zero slope?
The lines will be parallel
When will the two lines on a graph have no intersecting points?
when there are coefficients in front of all the variables in the systems
When is it better to use the elimination method of solving linear systems?
The variable that represents the y-intercept of an equation
What is b in a linear equation?
The slope goes up to the left
What is a negative slope?
A parallel line
What does a line with the same slope indicate?
when the equations are on top of each other --in other words they are the same line
When will the two lines on a graph have infinitely many intersecting points?
substitution--by solving some equation for y and substituting it into the other equation.
What is the best method for finding the solution to this system of equations?
3x+y=-8
-4x-y=6
The numbers represented in parentheses separated by a comma such as (3 , 5)
What is a an ordered pair on a linear graph?
A slope that goes up to the right
What is a positive slope?
the line itself is not included in the inequality
What does a dotted line indicate on an inequality graph?
Just one
When the two lines on the graph just cross each other how many intersection points will it have?
By elimination. Multiply the top equation by -2 and you can eliminate the y terms and fond the x term.
What is the best method for finding the solution to this system of equations?
5x-2y=14
3x-4y=-14