Find an equation of the line through (3,5) and parallel to y = 3x -7. Write the equation using function notation f(x)=__

Given:

Equation of line is .

To find:

The equation of line which is parallel line to and passes through (3,5) in function notation.

Solution:

Slope intercept form of a line is

where, m is slope and b is y-intercept.

On comparing the equation with slope intercept form, we get

So, slope of given line is 3.

Slope of parallel lines are same. Thus, the slope of parallel line is also 3.

Point slope form of a line is

where, m is slope.

The parallel line passes through (3,5) with slope 3. So, the equation of line is

Add 5 on both sides.

Function notation of this equation is

Therefore, the equation equation in function notation is .

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2

3/6   and 9/18

step-by-step explanation: