SOLUTION: Find the equation, in slope-intercept form, of the line that passes through the points (5, 2) and (-7, 3). Write the equation in slope-intercept form.

Algebra ->  Systems-of-equations -> SOLUTION: Find the equation, in slope-intercept form, of the line that passes through the points (5, 2) and (-7, 3). Write the equation in slope-intercept form.       Log On


   

Question 170556: Find the equation, in slope-intercept form, of the line that passes through the points (5, 2) and (-7, 3). Write the equation in slope-intercept form.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find the equation, in slope-intercept form, of the line that passes through the points (5, 2) and (-7, 3). Write the equation in slope-intercept form.
:
Find the slope using the slope formula: m = %28y2+-+y1%29%2F%28x2+-+x1%29
Assign the values as follows:
x1 = 5; y1 = 2
x2 = -7; y2 = 3
:
m = %283+-+2%29%2F%28-7+-5%29 = 1%2F%28-12%29 = -1%2F12
:
Use the point slope formula: y - y1 = m(x - x1)
:
y - 2 = -1%2F12(x - 5)
:
y - 2 = -1%2F12x + 5%2F12
:
y = -1%2F12x + 5%2F12 + 2
:
y = -1%2F12x + 5%2F12 + 24%2F12
:
y = -1%2F12x + 29%2F12; the slope/intercept form