Question

plss help!!

x: 0, 3, 6, 9
y: 2, 8, 14, 20

which would be plotted on the same line as the coordinates below?
a. 5,12
b. 2, 4
c. 10,23
d. 7,18

Answer 1

answer : option a) (5,12)

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

The point with coordinate having same slope as with given coordinates can be plotted on the same line.

First calculating, the slope of line passing through point (0,2) and (3,8) :

$\begin{aligned}m&=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\&=\frac{8-2}{3-0}\\&=2\end{aligned}$

Now considering first point given as (5,12) along with point on line (0,2) and finding slope :

$\begin{aligned}m&=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\&=\frac{12-2}{5-0}\\&=2\end{aligned}$

hence the slope of these points are also same therefore, point (5,12)

passes through the line.

check and know more about slope of line here :

https://brainly.com/question/14914699

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