Use the distance formula
And just plug in your numbers and solve
1) Create was we already know in the equation. 16=-7(-3)+b. (This is using the initial equation of y=mx+b.)
2) Simplify and solve for b: 16=21+b = -5=b
3) Replug your be value into your equation: y=-7x-5.
Answer
y=-7x-5
Words: y equals negative seven x, minus five.
The dominant term is -2x⁴.
As X approaches infinite, y is naturally going to be really large as well.
Remember that a number with an even exponent, regardless of whether it's positive or negative, will be positive.
As x approaches infinite, y will approach -2 * ∞, or -∞. Therefore, the end behavior in the positive direction is y=-∞
As x approaches negative infinite, y will approach -2 *∞ again. This is because -∞⁴ = ∞. Therefore, the end behavior in the negative direction is also y=-∞
Basically, due to the dominance of the -2x^4 term, the function will look more or less like a downward facing parabola with a y-intercept of 3.