Estimating Solutions to Systems of Equations by Graphing

The video tutorial explains how to solve systems of linear equations by graphing when both equations are in slope intercept form. It covers the basics of systems of equations, the slope intercept form, and how to graph linear equations. The tutorial also discusses finding solutions graphically, including the point of intersection, and provides an example problem to illustrate the process.

What is the slope in the equation y = 3x - 9?

• 3

• 0

• -9

• 1

When graphing the equation y = 3x - 9, where do you start?

• At the y-intercept, -9

• At the origin

• At the slope

• At the x-intercept

What is the point of intersection for the system of equations y = 3x - 9 and y = -1/2x + 5?

• (0, 0)

• (-1, 1)

• (2, 2)

• (4, 3)

What does the point of intersection represent in a system of equations?

• The x-intercept

• The y-intercept

• The solution to the system

• The midpoint of the lines

Why might graphing not always provide an exact solution?

• Equations are not linear

• Intersections are not always integers

• Lines are always parallel

• Graphing is inaccurate