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A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?

a. y= -1/5x+1
b. y= 1/5x+3
c. y= -5x-23
d. y= 5x+27

2 Answers

3 votes

Explanation:

Use this formula: Y2 - Y1

X2 -X1

Then, use point slope form: y - Y1 = m (x - X1)

  • m is the slope
  • Y1 & X1 is a point on the line
  • The form allows you to identify the slope & the point on the line

Finally, it'll reveal your answer!!! :)


User Maurice Meyer
by
9.2k points
4 votes

Answer:

a. y= -1/5x+1

Explanation:

If we have 2 points , we can find the slope using the formula

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

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

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

= -3/15

= -1/5

The slope if -1/5

We can use the point slope form of a line to write an equation

y-y1= m(x-x1)

y-2 = -1/5(x--5)

y-2 =-1/5(x+5)

Distribute the -1/5

y-2=-1/5x -1

Add 2 to each side

y-2+2 = -1/5x -1+2

y = -1/5x+1

User Homersimpson
by
8.3k points

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