# Slope of a Line Equation

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?

https://brainmass.com/math/graphs-and-functions/slope-line-equation-257675

#### 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 byâ€”

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 toâ€”

ïƒ° -2/ -7

ïƒ° 2/7

ïƒ° 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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