How to rewrite an equation from standard form to slope intercept form 3x‐7y=14

The video tutorial covers how to write the equation of a line in slope-intercept form, starting from either a given slope and point or two points. It explains the process of converting an equation from standard form to slope-intercept form by isolating the variable Y. The tutorial also revisits solving literal equations, emphasizing the importance of keeping the variable in front. The final part of the video focuses on identifying the slope and Y-intercept from the equation, preparing students for graphing.

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

• Y = MX + B

• Y = AX + BY + C

• Y = X + B

• Y = A/BX + C

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

• Solve for Y

• Add a constant to both sides

• Solve for X

• Multiply all terms by the coefficient of Y

In the equation -7Y = -3X + 14, what operation is needed to isolate Y?

• Add 7 to both sides

• Divide by -7

• Subtract 14 from both sides

• Multiply by -3

Why is it important to write equations in slope-intercept form for graphing?

• It allows for easier addition of terms

• It eliminates fractions

• It simplifies the equation

• It makes it easier to identify the slope and Y-intercept

What is the slope in the equation Y = 3/7X - 2?

• 2

• 3/7

• -2

• 7/3