University:
Miami University
Course:
MTH 125 | Precalculus
Academic year:

2023
Views:

300

Pages:

3
Author:

Charlee Buchanan

Precalculus Prerequisites Review #1 - Algebraic Manipulation of Linear Functions A line passes through (7,4) and (3,-4). Find an equation for the line in all three forms for linear equations. Slope-intercept Form: y = mx + b y = 2x - 10 Point-slope Form: y - y₁ = m(x - x₁) y - 4 = 2(x - 7) y - 4 = 2(x - 3) Standard Form: Ax + By = C y = 2x - 10 -2x + y = -10 Sketch the graph of each line. * a. y = (2/3)x - 2 * [Graph of a line with a positive slope, intersecting the y-axis at -2] * Start at the y-intercept and use slope (rise/run) to find additional points * b. y = -3x + 1 * [Graph of a line with a negative slope, intersecting the y-axis at 1] * Start at the y-intercept and use slope (rise/run) to find additional points 3. Sketch the graph of each line. * a. 2x - 5y = 10 * x-int: (5,0) * y-int: (0,-2) * [Graph of a line with a positive slope, intersecting the x-axis at (5,0) and the y-axis at (0,-2)] * b. 4x - 3y = 24 * x-int: (6,0) * y-int: (0,-8) * [Graph of a line with a positive slope, intersecting the x-axis at (6,0) and the y-axis at (0,-8)] 4. A recording studio charges a base fee for use of their facility plus a constant fee per hour of use. The table compares the number of hours the studio is used with the total cost, c, for use of the studio. Use the table to answer each of the questions below.

Linear Functions (Algebraic Manipulation)

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