(04.04) which of the following has a graph that is a straight line? (4 points) equation 1: y = 4x3 + 6 equation 2: y = 5x − 4.5 equation 3: y2 = x − 1 equation 4: y = 2x2 + 6

Step-by-step explanation:

Given equations :

Equation 1:

Equation 2: y = 5x − 4.5

Equation 3:

Equation 4: .

First equation has degree 3 because power of x is 3.

Second equation has degree 1 because power of x is 1.

Third equation as power of y as 2.

And fourth equation as power of x as 2.

Note: An equation with power of x and y or any variable only 1 to be graph be a straight line.

Only second equation has power of x and y is 1.

correct answer:

b.(19,-2)

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)