Solving and Graphing Linear Equations Review

This video tutorial reviews solving and graphing linear equations in various forms: slope-intercept, point-slope, and standard. It provides step-by-step instructions for plotting graphs and finding intercepts. The video also covers solving literal equations for specific variables, emphasizing the importance of understanding different forms and their applications.

What is the first step in graphing a linear equation in slope-intercept form?

• Find the slope

• Draw the line

• Plot the y-intercept

• Plot the x-intercept

In point-slope form, what does the point (x1, y1) represent?

• The slope

• The y-intercept

• The x-intercept

• A point on the line

How do you find the x-intercept of a linear equation in standard form?

• Set y to zero and solve for x

• Set x to zero and solve for y

• Plot the y-intercept

• Find the slope

What should you do if one of the intercepts is not an integer in standard form?

• Plot it as a fraction

• Use a different method

• Convert to slope-intercept form

• Ignore it

What is the slope of the line represented by the equation y = 4x + 10?

• -4

• 1/4

• 10

• 4

How do you graph a horizontal line like y = 2?

• Convert to slope-intercept form

• Find the slope and plot points

• Plot the y-intercept and draw a horizontal line

• Plot the y-intercept and draw a vertical line

What is the first step in solving the equation -x = 2y - 9 for x?

• Multiply both sides by 2

• Divide both sides by -1

• Subtract 9 from both sides

• Add 9 to both sides

When solving for y in the equation -7y = 56 - 4x, what is the next step after moving 4x to the other side?

• Subtract 56 from both sides

• Multiply both sides by 7

• Divide both sides by -7

• Add 4x to both sides

In the equation y - 3 = 1/2(x + 4), what is the first step to isolate x?

• Multiply both sides by 2

• Subtract 3 from both sides

• Divide both sides by 2

• Add 4 to both sides

What is the final step in solving the equation x = 3y - 18 for y?

• Add 18 to both sides

• Subtract 18 from both sides

• Multiply both sides by 3

• Divide both sides by 3