Question

Determine the intercepts of the line that passes through the following points (1,2) (3,10) (5,18)

Answer 1

Answer:

  (1/2, 0), (0, -2)

Step-by-step explanation:

We can determine the slope from ...

  slope = (change in y)/(change in x) = (10 -2)/(3 -1) = 8/2 = 4

Then an equation for the line can be written for slope m and point (h, k) as ...

  m(x -h) -(y -k) = 0

Using the slope we calculated and the first point, we have the equation ...

  4(x -1) -(y -2) = 0

  4x -4 -y +2 = 0 . . . . . eliminate parentheses

  4x -y = 2 . . . . . . . . . . put in standard form

Now, we can divide by the constant on the right to put this into intercept form:

  x/(x-intercept) + y/(y-intercept) = 1

  x/(1/2) + y/(-2) = 1

The x-intercept is 1/2; the y-intercept is -2.