139k views
3 votes
how would i find an equation algebraicaly when my points are (0,3) to (5,3) and would what would be my domain and range? 20 points!!

1 Answer

4 votes

Answer:

Explanation:

To find the equation of a line when you have two points, you can use the point-slope formula. Here's how to do it:

1. Find the slope of the line using the two points:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (0, 3) and (x2, y2) = (5, 3)

slope = (3 - 3) / (5 - 0) = 0/5 = 0

2. Use the point-slope formula to find the equation of the line:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is one of the points on the line. Using (0, 3) as the point, we get:

y - 3 = 0(x - 0) or y = 3

So the equation of the line is y = 3, a horizontal line passing through y = 3.

The domain of this equation is all real numbers, since x can take on any value and y will always be 3.

The range of this equation is a single value, y = 3, since the line is horizontal and every point on the line has the same y value of 3.

User Liran H
by
8.3k points