What is the equation of the line through (0, -4) and (3, 2)?

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 CCC Common Core Pre-Test with our comprehensive quiz. Utilize detailed flashcards and multiple-choice questions, each accompanied by insights and explanations, to enhance your readiness for the exam!

Multiple Choice

What is the equation of the line through (0, -4) and (3, 2)?

Explanation:
To find the equation of a line through two points, start by finding its slope: m = (change in y) / (change in x). Between (0, -4) and (3, 2), the slope is (2 - (-4)) / (3 - 0) = 6/3 = 2. With this slope, use the slope-intercept form y = mx + b and plug in one point to find b. Using (0, -4): -4 = 2(0) + b, so b = -4. The line is y = 2x - 4. This passes through both given points: at x = 0, y = -4; at x = 3, y = 2. The other options either have the wrong slope or the wrong intercept, so they don’t fit both points.

To find the equation of a line through two points, start by finding its slope: m = (change in y) / (change in x). Between (0, -4) and (3, 2), the slope is (2 - (-4)) / (3 - 0) = 6/3 = 2. With this slope, use the slope-intercept form y = mx + b and plug in one point to find b. Using (0, -4): -4 = 2(0) + b, so b = -4. The line is y = 2x - 4. This passes through both given points: at x = 0, y = -4; at x = 3, y = 2. The other options either have the wrong slope or the wrong intercept, so they don’t fit both points.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy