Question

4. Write an equation in point-slope form for the line through the given point with the given slope.

Answer 1

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The required equation is ~

$y + 1 = \dfrac{4}{3}(x - 9)$

$\large \boxed{ \mathfrak{Explanation}}$

The given data is :

Value of Slope (m) ~

• $\dfrac{4}{3}$

Coordinates of a point lying on the line ~

• $(9 ,- 1)$

Let's use the general equation of line in point slope form and plug the values of slope (m) and coordinates of point (9 , -1) to find the equation of required line ~

that is ~

• $y - y_1 = m(x - x_1)$

• $y - (-1) = \dfrac{4}{3}(x - 9)$

• $y + 1 = \dfrac{4}{3}(x - 9)$

Answer 2

Answer:

A. y+1= 4/3(x-9)

Step-by-step explanation:

For this problem you are going to need to know the point-slope equation which is:  

y-y₁=m(x-x₁)

Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.

It should look like this: y + 1= 4/3(x-9)

Since all they are asking for is for you to put it into a formula this will be your answer.

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