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Line A passes through (0, -3) and (5, -1). Find the equation of Line A.

User Pym
by
7.9k points

1 Answer

5 votes

Answer:


y=(2)/(5)x-3

or


y+3=(2)/(5) (x-0)

Explanation:

Finding the Equation of a Line Given Two Points:

  • In order to find the equation of a line, we must identify point (x,y) and slope (m).
  • Slope formula:
    m=(y_2-y_1)/(x_2-x_1)
  • Point-slope formula:
    y-y_1=m(x-x_1)
  • Slope-intercept formula:
    y=mx+b

We are given two points on Line A: (0,-3) and (5,-1). We can assign each integer to a variable in the slope formula (see above):


x_1=0


y_1=-3


x_2=5


y_2=-1

As we have identified point, we can now work to identify slope by substituting our points into the slope formula:


m=(-1-(-3))/(5-0)=(2)/(5)

Now that we have identified both point and slope for Line A, we can format these values in point-slope form. Substitute values into the formula:


y-(-3)=(2)/(5) (x-0)=y+3=(2)/(5)x

Solve for
y to achieve an answer in slope-intercept form (
y=mx+b):


y=(2)/(5) x-3

User Joe Fernandez
by
8.5k points

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