144k views
4 votes
Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all of your calculations.

User Arbelac
by
8.5k points

1 Answer

5 votes

Answer:

y = 3x + 5

Explanation:

1) First, find the slope between the pair of points. Use the slope formula
m = (y_2-y_1)/(x_2-x_1). Substitute the x and y values of points A and B into the formula and simplify:


m = ((-10)-(5))/((-5)-(0)) \\m = (-10-5)/(-5-0) \\m = (-15)/(-5) \\m = 3

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.

3) Using slope-intercept format, represented by the equation
y = mx + b, write the equation of the line. Remember that the number in place of
m, or the coefficient of the x-term, is the slope. So, substitute 3 for
m. Also, remember that
b represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:


y = 3x + 5

User LGTrader
by
8.0k 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