What is the y-intercept of the line that passes through (0,0) and (2,3)?

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 8/9 Math Test. Engage with flashcards and multiple-choice questions, featuring hints and explanations for each question to help you succeed. Be exam-ready!

Multiple Choice

What is the y-intercept of the line that passes through (0,0) and (2,3)?

Explanation:
The y-intercept is the y-value when x = 0. Since the line passes through the origin (0,0), its y-intercept is 0. You can also see this from the slope form: the slope between (0,0) and (2,3) is (3−0)/(2−0) = 3/2, so the line is y = (3/2)x + b, and plugging in (0,0) gives 0 = 0 + b, so b = 0. Therefore, the y-intercept is 0.

The y-intercept is the y-value when x = 0. Since the line passes through the origin (0,0), its y-intercept is 0. You can also see this from the slope form: the slope between (0,0) and (2,3) is (3−0)/(2−0) = 3/2, so the line is y = (3/2)x + b, and plugging in (0,0) gives 0 = 0 + b, so b = 0. Therefore, the y-intercept is 0.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy