Question

Determine the most convenient method to graph each line: ⓐ x = 6 ⓑ y = $-\frac{3}{4}$x + 1 ⓒ y = −8 ⓓ 4x − 3y = −1.

Short answer

The most convenient method to graph each line:
ⓐ For x = 6 , There is only one variable, x. The graph is a vertical line crossing the x-axis at 6.

ⓑ For y = $-\frac{3}{4}$x + 1 , Since this equation is in y = mx + b form, it will be easiest to graph this line by using the slope and y-intercepts.

ⓒ For y = −8 , This equation has only one variable, y. Its graph is a horizontal line crossing the y-axis at.

ⓓ For 4x − 3y = −1, This equation is of the form Ax + By = C. The easiest way to graph it will be to find the intercepts and one more point

Step-by-step solution

Step 1. Given Information  

Equations of lines: ⓐ x = 6 ⓑ y = $-\frac{3}{4}$x + 1 ⓒ y = −8 ⓓ 4x − 3y = −1.

Step 2. Required to find 

Determine the most convenient method to graph each line.

Step 3. The most convenient method to graph each line 

The most convenient method to graph each line:

ⓐ For x = 6 , There is only one variable, x. The graph is a vertical line crossing the x-axis at 6.

ⓑ For y = $-\frac{3}{4}$x + 1 , Since this equation is in y = mx + b form, it will be easiest to graph this line by using the slope and y-intercepts.

ⓒ For y = −8 , This equation has only one variable, y. Its graph is a horizontal line crossing the y-axis at .

ⓓ For 4x − 3y = −1, This equation is of the form Ax + By = C. The easiest way to graph it will be to find the intercepts and one more point.