Learn how to solve a system of equations by graphing

The video tutorial explains two methods for graphing lines: using x and y-intercepts in standard form and converting to slope-intercept form (y=mx+b). The instructor prefers the latter for solving systems as it clarifies intersections. The tutorial demonstrates converting equations to y=mx+b form, graphing them, and finding their intersection. The solution is identified as consistent and independent, with the intersection point given as a coordinate.

What is the advantage of using the slope-intercept form over the standard form when solving systems of equations?

• It avoids the use of fractions.

• It simplifies the calculation of y-intercepts.

• It allows for a clearer view of the intersection points.

• It is easier to find the x-intercepts.

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

• Multiply both sides by the slope.

• Add the y variable to both sides.

• Subtract the x term from both sides.

• Divide by the y-intercept.

In the equation y = 3/2x - 2, what does the number -2 represent?

• The intersection point with another line.

• The slope of the line.

• The x-intercept of the line.

• The y-intercept of the line.

How do you determine the next point on a line after plotting the y-intercept?

• Use the slope to move vertically and horizontally.

• Move vertically by the y-intercept value.

• Move horizontally by the slope value.

• Use the x-intercept to find the next point.

What type of solution is it when two lines intersect at a single point?

• Inconsistent and dependent

• Consistent and dependent

• Consistent and independent

• Inconsistent and independent