IM 8.3.13 Solutions to Linear Equations

Front

What are solutions to linear equations?

Back

Ordered pairs (x,y) that satisfy the equation.

Front

What is the ordered pair that is a solution to 2x + 3y = 11?

Back

(1, 3)

Front

What is the ordered pair that is a solution to x + 5y = 20?

Back

(0, 4)

Front

What is the equation for the graphed solution y=-1x+3?

Back

y=4x+3

Front

Which points are solutions to the equation? (-5,3) and (0,2) or (0,0) and (3,-5)?

Back

(0,0) and (3,-5)

Front

What is the slope of a linear equation?

Back

The rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear equation?

Back

The value of y when x=0.

Front

How do you determine if an ordered pair is a solution to a linear equation?

Back

Substitute the values of x and y into the equation and check if it holds true.

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two lines to be parallel?

Back

They have the same slope but different y-intercepts.