Solving Systems of Equations by Graphing (y=mx+b form)
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does the slope-intercept form of a line look like?
Back
The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
How do you find the slope (m) from an equation in slope-intercept form?
Back
The slope (m) is the coefficient of x in the equation y = mx + b.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
What does the y-intercept (b) represent in the equation y = mx + b?
Back
The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
How do you graph the equation y = mx + b?
Back
1. Start at the y-intercept (0, b). 2. Use the slope (rise/run) to find another point. 3. Draw a line through the points.
6.
FLASHCARD QUESTION
Front
What is the solution to a system of equations graphically?
Back
The solution is the point where the graphs of the equations intersect.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel when graphing a system of equations?
Back
If two lines are parallel, they have the same slope but different y-intercepts, meaning they have no solution.
Tags
CCSS.8.EE.C.8B
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