complete the equation of the line through (4,-8) and (8,5).

Question

y=?

Answer 1

To find the equation of the line, first find the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1)
m = (5 - (-8)) / (8 - 4)
m = 13 / 4

The slope is 13/4. Next, use the point-slope form of the equation of a line:

(y - y1) = m(x - x1)

Using the point (4, -8):

(y - (-8)) = (13/4)(x - 4)
y + 8 = (13/4)(x - 4)

Now simplify the equation:

y + 8 = (13/4)x - (13/4) * 4
y + 8 = (13/4)x - 13
y = (13/4)x - 13 - 8
y = (13/4)x - 21

So the equation of the line is y = (13/4)x - 21.