Question

God (56) 8. Write the equation of this line in slope-intercept form. у - Х

Answer 1

In order to find the line equation, we need to choose 2 points along the line, for instance,

the points

`\begin{gathered} (x_1,y_1)=(0,1)_{} \\ (x_2,y_2)=(1,3)_{} \end{gathered}`

Then, the slope m of the line will be given by

`m=(y_2-y_1)/(x_2-x_1)=(3-1)/(1-0)`

which gives

`m=(2)/(1)=2`

Then, the line has the form

`y=mx+b\Rightarrow y=2x+b`

We can find the y-intercept denoted by b by substituting one of the two points. For instance, if we substitute point (0,1) into the last result, we get

`\begin{gathered} 1=2(0)+b \\ \text{then} \\ b=1 \end{gathered}`

Therefore, the line equation in slope-intercept form is given by:

`y=2x+1`