Practice questions
- What is the slope of the line given by the equation 3x = 30 – 5y?
- In the standard xy-coordinate plane, what is the slope of the line that is perpendicular to the line 5y – 12x = 35?
Answers and explanations
- The correct answer is Choice (D).
Order the equation in slope-intercept form: y = mx + b. The m value will be the slope.
- The correct answer is Choice (A).
To find the slope of the given line, put it in the slope-intercept form: So the slope of the given line is 12/5.
To determine the slope of a perpendicular line, flip the fraction and change the sign. The slope has to be negative, so eliminate Choices (C), (D), and (E). Flip the numerator and denominator to get