Slope and Intercept Concepts

This lesson covers writing equations of lines in slope-intercept form, y = mx + b. It explains how to identify the slope (m) and y-intercept (b) and provides examples of writing equations given a slope and a point, two points, or a linear function. The lesson concludes with a summary of the steps involved in each scenario.

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

• y = ax + c

• y = mx + b

• y = ax^2 + bx + c

• y = x^2 + 2x + 1

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

• The constant term

• The x-intercept

• The y-intercept

• The slope

If a line passes through the point (-1, 3) with a slope of -4, what is the y-intercept?

• 0

• 3

• -4

• -1

For a line with a slope of 2 passing through the point (6, 3), what is the equation of the line?

• y = x + 6

• y = 3x + 2

• y = 2x - 9

• y = 2x + 3

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

• (x2 - x1) / (y2 - y1)

• (x1 - x2) / (y1 - y2)

• (y2 - y1) / (x2 - x1)

• (y1 - y2) / (x1 - x2)

What is the slope of the line passing through the points (-2, 5) and (2, -1)?

• -1

• 1

• -3/2

• 3/2

For the function f(x) with f(-2) = -2 and f(4) = -8, what is the slope of the line?

• 2

• -2

• -1

• 1

What is the y-intercept of the line with the function values f(-2) = -2 and f(4) = -8?

• 4

• 8

• -4

• -8

Which of the following is NOT a step in writing an equation in slope-intercept form?

• Substitute into y = mx + b

• Find the y-intercept

• Identify the slope

• Calculate the x-intercept

What is the final equation for a line with a slope of -1 and a y-intercept of -4?

• y = x - 4

• y = -x + 4

• y = x + 4

• y = -x - 4