How to find the parallel line to y= negative 3x +5 and has a x intercept of three

Therefore, equation of the line that passes through (3,0) and is parallel to the line

is

Step-by-step explanation:

Given:

 ...Equation of line

The require line is Parallel to above line and has a X -intercept of three,

i.e y-coordinate will be zero and x-coordinate is 3 ,therefore the point

is  ( 3 , 0 )

To Find:

Equation of line passing through ( 3, 0) and is parallel to the line y=-3x+5

Solution:

...........Given

Comparing with,  

Where m =slope  

We get

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (3 , 0) will also have the slope = m = -3.

Now the equation of line in slope point form given by

Substituting the points and so we will get the required equation of the line,

Therefore, equation of the line that passes through (3,0) and is parallel to the line

is

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0