Question 56889This question is from textbook Beginning Algebra
: Can someone help me on this problem?
I need to write the equation of the line passing through the given pairs of points. I need to write the result in slope-intercept form, where possible.
(3, -2) and (6, 4)
Thanks,
Sher
This question is from textbook Beginning Algebra
Answer by Edwin McCravy(20055)   (Show Source):
You can put this solution on YOUR website! Can someone help me on this problem?
I need to write the equation of the line
passing through the given pairs of points.
I need to write the result in slope-intercept
form, where possible.
(3, -2) and (6, 4)
Thanks,
------------------------------
You need two formulas:
y2 - y1
m = ---------
x2 - x1
gives the slope m of the line that passes
through the two points (x1, y1) and (x2, y2)
Then after calculating m, you substitute that
and the values of x1 and y1 into the
point-slope equation, which is:
y - y1 = m(x - x1)
Then solve for y.
------
Substitute (x1, y1) = (3, -2) and
(x2, y2) = (6, 4) into
y2 - y1
m = ---------
x2 - x1
and you'll get m = 2
Then substitute x1 = 3, y1 = -2, and
m = 2 into
y - y1 = m(x - x1)
leaving x and y as variables,
and solve for y, and you'll get
y = 2x - 8
This is the slope-intercept form
y = mx + b
because the slope is m = 2 and the
y-intercept is -8.
Edwin
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