What is the slope of a line that is perpendicular to the line shown.
answer options: 2/3, -3, 3, -1/3

3

Step-by-step explanation:

First of all, we need to calculate the slope of the line shown. This can be computed as:

where

is the increment along the y-direction

is the increment along the x-direction

We can choose the following two points to calculate the slope of the line shown:

(0,3) and (3,2)

Therefore, the slope of the line shown is

Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:

Using , we find that a line perpendicular to the line shown should have a slope of

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

14

step-by-step explanation: