Given the equation y = 3x + 5 , write the equation of a new line that would have the same y-intercept but would be steeper.

y = 4x + 5

Step-by-step explanation:

The general equation of a line is y = mx + d  ,

m = slope

d indicates the y-intercept, when x=0 , Y=5 => (0,5)

In the given line m = 3 , so that is the slope.

This slope has an angle = arctan(3) = 71.56º

If we need a steeper line, we have to increase m,

By example y = 4x + 5 , would have the same y-intercept but would be steeper.

This new line has a greater slope, with an angle = arctan (4) = 75.96º



the correct answer is a.) bc< mn 5 stars if this you : )

step-by-step explanation:

hello from mrbilldoesmath!

answer:

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

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

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

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb