Please help!! The slope of the line passing through the points (-3, 4) and (4, -1) is ___.

1 answer:

4 0

I hope this helps you

slope=m

(-3,4) x'=-3 y'=4

(4,-1) x"=4 y"=-1

slope formula :

m. (x'-x")=y'-y"

m. (-3-4)=4-(-1)

m.-7=4+1

m=-5/7

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6. Write an equation of a line that is Parallel to the line: y = 3x -3

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Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

$\rm\implies y = 3x - 3$

Slope Intercept Form :-

$\rm\implies y = mx + c$

where ,

m is slope
c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

$\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}$