Write the equation of the line in fully simplified slope-intercept form.

(6,-10)

1 answer

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We need to find the slope first. Given a point (6,-10), we can use the formula for slope, which is (y2 - y1) / (x2 - x1). Plugging in the values, we get:

m = (-10 - 0) / (6 - 0)
m = -10 / 6
m = -5/3

Now that we have the slope, we can plug it back into the slope-intercept form along with the given point (6,-10).

y = mx + b
-10 = (-5/3)(6) + b

To find b, we solve for it:

-10 = -30/3 + b
-10 = -10 + b
b = 0

Therefore, the equation of the line in fully simplified slope-intercept form is:

y = (-5/3)x + 0

Or simply y = (-5/3)x.