Question

Write the point slope form of the lines equation satisfying the given conditions. Then use the point slope form of the equation to write the slope intercept form of the equation Slope =3, passing through (7,2)What is the point slope of the equation of the line?What is the slope intercept form of the equation of the line?

Answer 1

Hello!

We know that:

• Slope ,= 3

,

• The, line passes through the point, (7, 2)

Knowing it, let's answer your exercise:

What is the point-slope of the equation of the line?

First, we have to remember how to write the point-slope equation:

`y-y_1=m\mleft(x-x_1\mright)`

As we know the values, we just have to replace them:

`y-2_{}=3(x-7_{})`

What is the slope-intercept form of the equation of the line?

The slope-intercept form is:

`y=mx+b`

We have to calculate the y-intercept (b). So, let's do it by replacing the point and slope in the variables:

`\begin{gathered} 2=3\cdot7+b \\ 2=21+b \\ 2-21=b \\ b=-19 \end{gathered}`

So, the slope-intercept form is:

`y=3x-19`