Understanding Linear Functions in Slope-Intercept Form

This video tutorial explains how to graph a linear function in slope-intercept form. It covers identifying the slope and intercepts, calculating the horizontal intercept, and graphing the function using these components. The tutorial also demonstrates finding additional points on the line and interpreting the slope in different ways.

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

• f(x) = ax + b

• f(x) = a/x + b

• f(x) = mx + b

• f(x) = ax^2 + bx + c

In the function f(x) = 4 - 3x, what is the slope?

• -3

• 3

• 4

• -4

How do you find the vertical intercept of a linear function?

• Find the constant term

• Find the coefficient of x

• Set y to 0 and solve for x

• Set x to 0 and solve for y

What is the horizontal intercept of the function f(x) = 4 - 3x?

• (3, 0)

• (0, 4)

• (4/3, 0)

• (0, -3)

When graphing a line, what does a negative slope indicate?

• The line goes uphill from left to right

• The line is horizontal

• The line goes downhill from left to right

• The line is vertical

How can the slope -3 be expressed as a fraction for graphing purposes?

• 1/-3

• -3/1

• 3/-1

• -1/3

What is an alternative way to interpret the slope -3?

• -1 over 3

• 3 over -1

• -3 over -1

• 3 over 1

Which point is not on the line of the function f(x) = 4 - 3x?

• (3, -5)

• (2, -2)

• (4, 8)

• (1, 1)

What is the ordered pair for the vertical intercept of f(x) = 4 - 3x?

• (0, 4)

• (4, 0)

• (0, -3)

• (3, 0)

Which of the following points is an additional point on the line?

• (2, 2)

• (1, 4)

• (0, 0)

• (-1, 7)