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A line passes through (1, -1) and (3, 5).What is the equation of the line in slope-intercept form?

User Anish Muthali
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1 Answer

17 votes
17 votes

Step 1 : Let's find the points given in the cartesian plane and let's draw the line.

Step 2: Let's calculate m (slope), as follows:

m = (Y - Y1)/((X -X1)

Replacing with the values we already know, we have:

m = (5 - (-1)/ 3 - 1

m = 6 /2 = 3

Step 3: Now, we can write the equation, as follows:

y - y1 = m (x -x1)

y - (-1) = 3 (x - 1)

y + 1 = 3x - 3

y = 3x -4

This is the equation that solves the question: y = 3x - 4

A line passes through (1, -1) and (3, 5).What is the equation of the line in slope-example-1
User Taylor King
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2.6k points