SOLUTION: Find the equation for a line which passes through the points (1, 8) and (4, –1) . Write the equation in slope-intercept form. Please show work.

Algebra ->  Linear-equations -> SOLUTION: Find the equation for a line which passes through the points (1, 8) and (4, –1) . Write the equation in slope-intercept form. Please show work.      Log On


   

Question 1023489: Find the equation for a line which passes through the points (1, 8) and (4, –1) . Write the equation in slope-intercept form. Please show work.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Gradient = y2 - y1/x2 - x1
Gradient = -1 - 8/4 - 1
Gradient = -9/3
Gradient = -3
Using line equation
y - b = m(x - a)
m = -3 (a, b) = (1, 8)
y - 8 = -3(x - 1)
y - 8 = -3x + 3
y = -3x + 3 + 8
y = -3x + 11
Hope this helps :-)