Write a minor function for the line with the slope of -5 that passes through points (7,3)

The equation of the line is

Step-by-step explanation:

The slope is

Also, the line passes through the points

To find a line with slope that passes through the points , let us use the equation of a line with slope that passes through the point is given by where m is the slope and are the points .

Thus, substituting the values in the equation of a line, we get,

Multiplying the term by -5, we get,

Adding both sides by 5x,

Subtracting 35 from both sides of the equation,

Thus, the equation of the line is

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)