Writing an equation in slope intercept form by multiplying by a fraction ex 12, x‐15=3/4y

The video tutorial demonstrates two methods to rewrite equations into slope-intercept form. The first method involves eliminating fractions by multiplying through, while the second method uses reciprocals. Both methods lead to the same result, allowing the identification of the slope and y-intercept. The tutorial concludes by summarizing the process and identifying the slope as 4/3 and the y-intercept as -20.

What is the main goal when rewriting an equation into slope-intercept form?

• To eliminate all variables

• To express the equation as y = mx + b

• To find the roots of the equation

• To convert the equation into a quadratic form

In the first method, what operation is performed to eliminate the fraction in the equation?

• Multiplying by 4

• Adding a constant to both sides

• Dividing by 2

• Subtracting a constant from both sides

After eliminating the fraction in the first method, what is the next step to solve for y?

• Multiply by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Divide by 3

What is the purpose of multiplying by the reciprocal in the second method?

• To change the sign of the equation

• To simplify the equation

• To find the y-intercept

• To eliminate the fraction

What are the values of the slope (m) and y-intercept (b) in the final equation?

• m = 4/3, b = -20

• m = 3, b = -15

• m = 4, b = -20

• m = 3/4, b = -15