solving systems by graphing

Front

What are the steps for graphing a line?

Back

1. Plot y-intercept 2. Count slope ratio to plot second point 3. Draw the line.

Front

What is the slope-intercept form of the equation -8x+2y=4?

Back

y=4x+2

Front

What is the solution to the system of equations graphed by Lesly if the intersection point is (-3,-8)?

Back

(-3,-8)

Front

What is the solution to the system of equations if the answer is (4, 3)?

Back

(4, 3)

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

What is the definition of slope in a linear equation?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

How do you find the y-intercept of a linear equation?

Back

Set x=0 in the equation and solve for y.

Front

What does it mean if two lines are perpendicular?

Back

Their slopes are negative reciprocals of each other.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection point(s) of the lines representing the equations.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system, where both equations are satisfied.