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# Slope of a Line Equation

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1. If line / goes through (1,3) and is parallel to the line through (4,3) and (-3,1). find the slope of /.

2. How do I write the equation y=2/3x-3 in standard form using only integers and a positive coefficient for x.

3. What is the equation if a line /goes through (-3,-1) and
(-1,4)?

4. What is the equation in slope-intercept form) of the line that goes through
(-1,2) and has slope 4?

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#### Solution Preview

1. if line / goes through (1,3) and is parallel to the line through (4,3) and (-3,1). find the slope of /.
Answer -
Slope of the line passes through two points P(x1 , y1 ) and Q (x2 , y2 ) is given by—
Slope=
Here, we have given two end points (4,3) and (-3,1) of a line.
Let us assume that slope of the line through (4,3) and (-3,1) is m1.
Thus, slope (m1) of the given line (4,3) and (-3,1) is ---
Slope (m1) = (1-3)/(-3-4))
which is equal to—
 -2/ -7
 2/7
 2/7
m1=2/7
According to the theorem, two lines are parallel if and only if they have equal slope
Thus, the ...

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