Question

For number 7, what did I do wrong for the negatives/positives to not match up with the answers.

Answer 1

C. 4x + 3y = 24

Step-by-step explanation

The line passes through the points (3, 4) and the x-intercept is 6.

At x-intercept, the coordinate of the point is (6, 0).

Using slope in two points form = slope in one point form

We shall use

`\begin{gathered} (x_1,y_1)=(3,4) \\ (x_2,y_2)=(6,0) \end{gathered}`

First;y, we shall calculate the slope in two points form with respect to the coordinates above

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m\text{ is the slope} \\ m=(0-4)/(6-3) \\ m=-(4)/(3) \end{gathered}`

Secondly, we shall calculate the slope in one point form

`\begin{gathered} m=(y-y_1)/(x-x_1) \\ m=-(4)/(3) \\ \Rightarrow-(4)/(3)=(y-4)/(x-3) \\ \text{Multiply both sides of the equation by 3(x-3)} \\ -4(x-3)=3(y-4) \\ -4x+12=3y-12 \\ \text{This becomes} \\ -4x-3y=-12-12 \\ -4x-3y=-24 \\ \text{Multiply both sides of the equation by -1 gives} \\ 4x+3y=24 \end{gathered}`