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Find an equation for the line that passes through the points (-2, 1) and (4, 3)

2 Answers

4 votes

Answer:

Explanation:

To find the equation of the line that passes through the points (-2, 1) and (4, 3), we can use the point-slope form of a line.

Point-slope form of a line: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

Step 1: Find the slope:

We can use the two points to find the slope:

m = (y2 - y1) / (x2 - x1) = (3 - 1) / (4 - (-2)) = 2

Step 2: Use the point-slope form:

y - 1 = 2(x - (-2))

y - 1 = 2x + 4

y = 2x + 5

The equation of the line that passes through the points (-2, 1) and (4, 3) is y = 2x + 5. This is the standard form of the line.

User Twitchax
by
8.7k points
3 votes

Answer: y=x/3 + 5/3

Explanation:

User Lachlan Pease
by
6.7k points

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