solving systems by graphing

Front

What is the first step in solving a system by graphing?

Back

Write both linear equations in slope-intercept form.

Front

What is the solution to the system of equations graphed by Buzz?

Back

(1, -4)

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

If m=3 and b=6, what is the slope-intercept equation?

Back

y=3x+6

Front

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

Back

y=4x+2

Front

What does slope-intercept form represent?

Back

It represents a linear equation in the form y=mx+b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y=2x+5?

Back

The y-intercept is 5.

Front

What does it mean if two lines are parallel in a graph?

Back

They have the same slope and will never intersect.

Front

What is the graphical representation of a system of equations?

Back

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