Finding the Equation of a Line in Slope-Intercept Form

Mrs. A explains how to write equations in slope-intercept form, which is y = mx + b. She describes the components of the equation, where 'm' is the slope and 'b' is the y-intercept. The video covers identifying the y-intercept on a graph and calculating the slope using two methods: rise over run and the formula (y2-y1)/(x2-x1). Mrs. A demonstrates using coordinates to find the slope and combines it with the y-intercept to form the equation of a line.

What is the general form of the slope-intercept equation?

• y = mx + b

• y = m + bx

• y = ax^2 + bx + c

• y = mx - b

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The slope

• The x-intercept

• The dependent variable

Where does the y-intercept of a line appear on a graph?

• At the highest point of the line

• Where the line crosses the x-axis

• Where the line crosses the y-axis

• At the origin

If a line crosses the y-axis at y = 3, what is the y-intercept?

• 3

• -3

• 0

• 1

Which formula is used to calculate the slope using two points?

• y2 - y1 / x2 - x1

• x2 - x1 / y2 - y1

• rise / run

• run / rise

What is another common method to calculate the slope besides using coordinates?

• Rise over run

• Run over rise

• Sum of x and y coordinates

• Difference of x and y coordinates

Given points (0, 3) and (2, -1), what is the slope of the line?

• -1

• 2

• -2

• 1

What are the coordinates of the first point used in the slope calculation?

• (2, -1)

• (-1, 2)

• (0, 3)

• (3, 0)

What is the final equation of the line with a slope of -2 and y-intercept of 3?

• y = 2x - 3

• y = -2x - 3

• y = 2x + 3

• y = -2x + 3

In the equation y = -2x + 3, what does the number 3 represent?

• The x-intercept

• The y-intercept

• The dependent variable

• The slope