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.

Front

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

Back

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

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.

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.

Front

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

Back

y = 2x + 8

Front

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

Back

(1, -1)

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).

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.

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.

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.