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Question 59434: find the equation of the line through the two points (3,4) and (2,-1); write the equation in the slope intercept form and find the x and y intercept of the line.
Thank you!
Found 2 solutions by uma, funmath:
Answer by uma(370)   (Show Source):
You can put this solution on YOUR website! The given points are (3,4) and (2,-1)
Slope of the line through these points =
difference in y coordinates/diff in x coord
Slope = (-1-4)/(2-3)
= -5/-1
= 5
Equation of the line with 5 as the slope and passing through (3,4) is
y - 4 = 5(x - 3)
==> y - 4 = 5x - 15
==> y -4 +4 = 5x - 15 +4
==> y = 5x - 11
This is the required equation in slope intercept form.
We find the y intercept of this line is - 11
To find the x intercept we plug in y = 0 in the above equation
==> 0 = 5x - 11
==> 11 = 5x - 11+ 11
==> 11 = 5x
==> 11/5 = 5x/5
==> 11/5 = x
The x intercept is 11/5 and y intercepr is -11
Answer by funmath(2933) (Show Source):
You can put this solution on YOUR website! Find the equation of the line through the two points (3,4) and (2,-1); write the equation in the slope intercept form and find the x and y intercept of the line.
:
In order to write the equation of a line, we need a point and a slope.
We don't have a slope, so we need to use the slope formula:  , m=slope, (x1,y1) and (x2,y2) are given points.
(x1,y1)=(3,4) and (x2,y2)=(2,-1)
Now we can find the equation of the line using the point-slope formula to find the equation of the line.  , m=slope, (x1,y1) is a point on the line.
m=5, (x1,y1)=(3,4)
 This is in slope intercept form:  , where m=slope and (0,b)=y-intercept.
The y-intercept is (0,-11)
To find the x-intercept, let y=0 and solve for x:
The y-intercept is (2.2,0)
In case you'd like to see the graph of the line for fun:
Happy Calculating!!!
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