Question

It is easier to read the slope and Y-Intercept from a linear equation if you rearrange the equation in to slope intercept form Y = MX +b Attached photo what is the slope of the line

Answer 1

The slope-intercept form of an equation is written as

`\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope of the line} \\ b\text{ is the y-intercept} \end{gathered}`

Given the equation

`y=(3-3x)/(4)`

Separate the fraction so that it is expressed in two terms.

`y=(3-3x)/(4)\Longrightarrow y=(3)/(4)-(3x)/(4)`

Swap the two position of the two terms

`y=(3)/(4)-(3x)/(4)\Longrightarrow y=-(3x)/(4)+(3)/(4)`

Now that it is in the slope-intercept form, we can observe that the slope of the line is

`\begin{gathered} y=-(3x)/(4)+(3)/(4) \\ \\ m=-(3)/(4) \\ \\ \text{Therefore, the slope of the line is }-(3)/(4)\text{.} \end{gathered}`