To find the slope, we can use the formula:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) = (6, -10) and (x2, y2) = (-6, 0).
So, m = (0 - (-10))/(-6 - 6)
= 10/-12
= -5/6.
Let's call the slope m = -5/6 and use the point-slope form of the equation of a line:
y - y1 = m(x - x1).
Substituting the values (x1, y1) = (6, -10):
y - (-10) = (-5/6)(x - 6).
This simplifies to:
y + 10 = (-5/6)(x - 6).
Multiplying through by 6 to clear the fraction:
6(y + 10) = -5(x - 6).
Simplifying:
6y + 60 = -5x + 30.
Rearranging the terms:
6y = -5x - 30.
Finally, we can write the equation in fully simplified slope-intercept form:
y = (-5/6)x - 5.
Write the equation of the line in fully simplified slope-intercept form.
(6,-10) and (-6,0)
1 answer