Question

Here are the equations of five straight lines. Find the slope of each line.Line A y = 2x – 3 m=Line B 2y = x + 3 m =Line C 4y = 3x – 2 m = Line D 2y = 4x – 1 m = Line E 3y = 2x – 2 m =

Answer 1

Given,

The equation of lines are,

Line A y = 2x – 3

Line B 2y = x + 3

Line C 4y = 3x – 2

Line D 2y = 4x – 1

Line E 3y = 2x – 2

The standard equation of line is,

$y\text{ = mx+c}$

Here, m is the slope of the line and c is y - intercept.

Taking the line A as,

$y=2x-3$

On comparing the line A with standard equation of line then the slope of the line is obtained m = 2.

Taking the line B as,

$\begin{gathered} 2y=x+3 \\ y=\frac{x}{2}+\frac{3}{2} \end{gathered}$

On comparing the line B with standard equation of line then the slope of the line is obtained m = 1/2.

Taking the line C as,

$\begin{gathered} 4y=3x-2 \\ y=\frac{3x}{4}-\frac{2}{4} \end{gathered}$

On comparing the line C with standard equation of line then the slope of the line is obtained m = 3/4.

Taking the line D as,

$\begin{gathered} 4y=3x-2 \\ y=\frac{3x}{4}-\frac{2}{4} \end{gathered}$

On comparing the line D with standard equation of line then the slope of the line is obtained m = 2.