126k views
1 vote
A line has a slope of 1 2 and passes through the point ( – 8,3). what is its equation in point-slope form?

1 Answer

6 votes

The equation of the line in point-slope form with a slope of ½ that passes through (-8, 3) is y - 3 = ½(x + 8).

The equation of a line in point-slope form is y − y1 = m(x − x1), where m represents the slope and (x1, y1) is the point through which the line passes. Given a slope of ½ and a point (−8, 3), the equation is y − 3 = ½(x + 8). This illustrates that once the slope and a single point on the line are known, the equation of the line can be determined.

In point-slope form, you substitute the given slope and point coordinates directly into the equation. Here's the step-by-step breakdown: Start with the point-slope formula, substitute in the slope (m = ½) and the coordinates of the point (x1 = −8 and y1 = 3), and simplify.

User Dror
by
8.7k points

No related questions found

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