Which description best compares thegraphs given by the equations:x + 3y = 152x + 6y = 24O parallelO perpendicularintersecting but not perpendicularO None of the above.

Question

asked Sep 13, 2023 79.2k views

1 Answer

Santiago Ordonez · Answer 1 · 2023-09-18T12:11:23+0000

The equation of the first line is given as,

The slope of line ax+by+c=0 is given as,

$Slope\text{ = }(-a)/(b)$

The slope of the above line is calculated as,

$Slope(1)\text{ = }(-1)/(3)$

Equation of the second line is given as,

The equation of the second line is calculated as,

$\begin{gathered} Slope(2)\text{ = }(-2)/(6) \\ Slope(2)\text{ = }(-1)/(3)_\text{ \_\_\_\_\_\_\_\lparen2\rparen} \end{gathered}$

From equations (1) and (2),

The slope of line 1 = Slope of line 2

As the slope of the lines is equal therefore the lines are parallel to each other.