Question

Write the slope-intercept form of the equation of the line described. 6.) through: ( -1 , -2) , parallel to Y= 3x +2

Answer 1

The slope-intercept form of the equation of the line described is;

`y=3x+1`

Step-by-step explanation:

We want to write the slope-intercept form of an equation that passes through the point;

`(-1,-2)`

and parallel to the line;

`y=3x+2`

Since the line is parallel to each other, it means they will have the same slope;

`m_1=m_2=3`

Using the point slope formula to generate the equation;

`y-y_1=m(x-x_1)`

substituting the given point and slope we have;

`\begin{gathered} y-(-2)=3(x-(-1)) \\ y+2=3(x+1) \\ y+2=3x+3 \\ y=3x+3-2 \\ y=3x+1 \end{gathered}`

Therefore, the slope-intercept form of the equation of the line described is;

`y=3x+1`