109k views
1 vote
What is the y-intercept of a line with a slope of -3 that passes throught the poinst or (12,2)

User Evgeny K
by
7.7k points

1 Answer

4 votes

Final answer:

The y-intercept of a line with a slope of -3 that passes through the point (12,2) is calculated using the equation y = mx + b, which results in a y-intercept of 38. The line crosses the y-axis at the point (0, 38).

Step-by-step explanation:

The student has asked to find the y-intercept of a line with a slope of -3 that passes through the point (12,2). To find the y-intercept, we can use the equation of a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Since we know the slope (m) is -3 and the line passes through the point (12,2), we can substitute these values into the equation to solve for b.

  • First, substitute the point into the equation: 2 = (-3)(12) + b.
  • Solve for b: 2 = -36 + b.
  • Add 36 to both sides: b = 2 + 36 = 38.

Therefore, the y-intercept of the line is b = 38, meaning the line crosses the y-axis at the point (0, 38).

User Paresh Masani
by
7.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories