Solving Systems of Equations by Graphing (A1)

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation 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

Front

Convert the equation -5x + 4y = 20 to slope-intercept form.

Back

y = \frac{5}{4}x + 5

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean if two lines in a system of equations have infinitely many solutions?

Back

It means the two lines are the same line.

Tags

CCSS.8.EE.C.8A

Front

How do you find the solution to a system of equations by graphing?

Back

You graph both equations on the same coordinate plane and identify the point where they intersect.

Tags

CCSS.8.EE.C.8B

Front

Convert the equation -4x + 2y = 16 to slope-intercept form.

Back

y = 2x + 8

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the solution to the system of equations y = x - 2 and y = -2x + 1?

Back

(1, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it goes (positive or negative).

Tags

CCSS.8.EE.B.5

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means they have the same slope but different y-intercepts, resulting in no solutions.

Tags

CCSS.8.EE.C.8B

Front

How can you determine the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the graphical representation of the equation y = 2/3x - 2?

Back

A line with a slope of 2/3 that crosses the y-axis at -2.