Question

Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)

Answer 1

9514 1404 393

Answer:

  y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

For m = -3/8 and (h, k) = (-5, -1), the line is ...

  y +1 = -3/8(x +5)

In slope-intercept form, this is ...

  y = -3/8x -23/8