Understanding Slope-Intercept Form

The video tutorial explains how to graph a linear equation using the slope-intercept form, Y = MX + B. It covers rearranging the equation to solve for Y, identifying the slope and y-intercept, and using these to plot the graph. The tutorial provides a step-by-step guide to subtracting terms, multiplying by the reciprocal, and plotting points using the rise over run method. The video concludes with a review of the process.

What is the general form of a linear equation in slope-intercept form?

• Y = BX + M

• X = MY + B

• Y = MX + B

• Y = B + MX

In the equation Y = MX + B, what does the 'B' represent?

• The slope

• The x-intercept

• The y-intercept

• The origin

What is the first step to rearrange an equation into slope-intercept form?

• Divide both sides by the y-intercept

• Multiply both sides by the slope

• Subtract the x term from both sides

• Add the x term to both sides

What operation is used to solve for y after subtracting the x term?

• Subtracting the reciprocal of the coefficient of x

• Multiplying by the reciprocal of the coefficient of y

• Dividing by the coefficient of x

• Adding the reciprocal of the coefficient of y

After rearranging the equation, what is the slope of the line?

• 6/5

• -1/2

• 5/6

• 1/3

What is the y-intercept of the line after rearranging the equation?

• 0

• 1/6

• -1/2

• 6/5

How is the slope of a line often expressed?

• As the change in x over the change in y

• As the rise over the run

• As the run over the rise

• As the y-intercept over the x-intercept

What is the first point plotted when graphing a line using the slope-intercept form?

• The x-intercept

• The origin

• The y-intercept

• Any random point

How do you find another point on the line after plotting the y-intercept?

• Move down by the denominator and left by the numerator of the slope

• Move down by the numerator and left by the denominator of the slope

• Move up by the numerator and right by the denominator of the slope

• Move up by the denominator and right by the numerator of the slope

What does the slope of 6/5 indicate in terms of movement on the graph?

• Move down 5 units and left 6 units

• Move down 6 units and left 5 units

• Move up 6 units and right 5 units

• Move up 5 units and right 6 units