How to solve a system of equations by graphing both equations

The video tutorial covers solving systems of equations by graphing. It begins with an introduction to graphing systems, followed by converting equations to slope-intercept form. The tutorial explains how to graph equations, understand slope, and plot points using slope triangles. Finally, it demonstrates identifying intersection points as solutions to the systems.

What is the primary goal when solving systems of equations by graphing?

• To find the maximum value of the function

• To find the point where the graphs intersect

• To convert all equations to standard form

• To eliminate one variable

When converting an equation to slope-intercept form, what is the first step?

• Divide by the coefficient of X

• Isolate the variable Y

• Add the X term to both sides

• Multiply both sides by the coefficient of Y

What does the slope of a line represent?

• The distance between two points on the line

• The point where the line crosses the X-axis

• The ratio of the change in Y to the change in X

• The Y-intercept of the line

How should a negative slope be represented?

• As a positive fraction

• As a whole number

• With the negative sign in both the numerator and denominator

• With the negative sign in either the numerator or denominator

What is the Y-intercept of the equation Y = 1/3 X + 2?

• 0

• 1/3

• 3

• 2

What is the solution to a system of equations when graphed?

• The point where the lines intersect

• The point where the lines are parallel

• The point where the lines are perpendicular

• The point where the lines overlap completely

What type of system is it when there is exactly one intersection point?

• Inconsistent

• Dependent

• Independent

• Parallel