Question

What are four representations for a linear function? List four representations we can use for any given linear function.

A. Table of values, slope-intercept form, graph, point-slope form
B. Quadratic equation, standard form, vertex form, graph
C. Exponential form, logarithmic form, sine wave, cosine wave
D. Radical form, polynomial form, matrix form, exponential decay form

Answer 1

The four representations for a linear function are Table of values, slope-intercept form, graph, and point-slope form.

Step-by-step explanation:

The question asks about the four representations for a linear function that we can use. The correct answer is option A: Table of values, slope-intercept form, graph, and point-slope form. These are common ways to represent a linear function, which is typically expressed using the equation y = mx + b or y = a + bx, where m or b is the slope and a is the y-intercept of the line on a graph. The linear relationship is depicted as a straight line on a graph.

A table of values lists input-output pairs that satisfy the linear equation. The slope-intercept form (y = mx + b) directly gives the slope and the y-intercept, allowing for easy graphing. The point-slope form (y - y1 = m(x - x1)) is useful when you know the slope and a particular point on the line (x1, y1).