4.2 Homework Problems: Graphing Linear Equations
1. Graph the following lines by finding at least 2 ordered pairs and plotting them on the graph provided
a. x + 1 = 2
b. 4x = 3y – 5
c. [latex]\frac{2}{3}[/latex] x – y = 4
2. The relationship between Celsius and Fahrenheit is linear. Convert °C (Celsius) to °F (Fahrenheit) using the following equation
Convert °C (Celsius) to °F (Fahrenheit) using the following equation.
°F = ( [latex]\frac{9}{5}[/latex] * °C ) + 32 or °F = (1.8 * °C ) + 32
Fill in the following table and then graph the ordered pairs on the graph provided. Scale the graph accordingly
3. Ohms Law (V = I * R) is a linear relationship. If R remains a constant 3 Ω, fill out the following table for I (current) for the corresponding V (voltage) values. Graph the resulting ordered pairs using the graph provided.
4. Graph the following linear equations by finding the x-intercept and y-intercept
a. 3x – 7y = -21
x intercept: ____________________
y intercept: ____________________
b. [latex]\frac{2}{3}[/latex] x – [latex]\frac{3}{4}[/latex] y = 6
x intercept: ____________________
y intercept: ____________________