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 .

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.