149k views
4 votes
What equation is used for the line above (-1,7.5) (0,6) (1,4.5) (2,3) (3,1.5) (4,0)

1 Answer

1 vote

Final answer:

The equation of the line that passes through the given points is y = -1.5x + 6, where -1.5 is the slope calculated from two points on the line, and 6 is the y-intercept where the line crosses the y-axis.

Step-by-step explanation:

You are looking to find the equation of a line that passes through a set of points. For a line, the equation can generally be written in the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. To determine the slope (m) of the line, you can use the formula m = (Y2 - Y1) / (X2 - X1).

In this case, using any two points on the line, for example, (0,6) and (4,0), the slope would be calculated as (0 - 6) / (4 - 0) = -6/4 = -1.5. The y-intercept (b) can be seen directly from the point where the line crosses the y-axis. Here, when x=0, y=6, so b is 6. Therefore, the equation for the line is y = -1.5x + 6.

User Shahad
by
7.0k 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