What is the y-intercept of the linear function with slope 2 and passing through (1,14)?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the PSAT/NMSQT Test with our comprehensive quizzes. Use interactive flashcards and multiple-choice questions, complete with hints and explanations, to get ready for exam day!

Multiple Choice

What is the y-intercept of the linear function with slope 2 and passing through (1,14)?

Explanation:
The y-intercept is the value of y when x equals 0. Write the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. With a slope of 2 and the point (1, 14), substitute into the equation: 14 = 2(1) + b, so 14 = 2 + b, giving b = 12. Therefore, the line crosses the y-axis at y = 12, i.e., the intercept is 12. This also means the line passes through (0, 12). The other values don’t fit because they wouldn’t satisfy the equation with x = 1 and y = 14.

The y-intercept is the value of y when x equals 0. Write the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. With a slope of 2 and the point (1, 14), substitute into the equation: 14 = 2(1) + b, so 14 = 2 + b, giving b = 12. Therefore, the line crosses the y-axis at y = 12, i.e., the intercept is 12. This also means the line passes through (0, 12). The other values don’t fit because they wouldn’t satisfy the equation with x = 1 and y = 14.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy