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What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?

A)
Y=3x-5
B)
Y=3x+5
C)
Y=3x-5
D)
Y=3+5

1 Answer

5 votes

Answer:

y = -3x+5 This has a negative slope

Explanation:

The first step is to find the slope. We can use the formula

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

= (-10--1)/(5-2)

= (-10+1)/3

= -9/3

=-3

Next we will use the point slope form of the equation of a line

y-y1 = m(x-x1)

y--1 = -3(x-2)

y+1 = -3(x-2)

Distribute the -3

y+1 = -3x -3*(-2)

y+1 = -3x+6

Subtract 1 from each side

y+1-1 = -3x+6-1

y = -3x+5

This is in the slope intercept form of the equation.


My answer differs from the options because I have a negative slope

User SmellyCat
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