Question

How do i od this linear equation in slope form

Answer 1

Answer:

y = -x + 4

The correct option is B

Step-by-step explanation:

Given the point (1, 3) and (3, 1)

The equation of a line is given as:

y = mx + b

Where m is the slope and b is the y-intercept.

To obtain the slope, we use the formula:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \\ =(1-3)/(3-1)=(-2)/(2)=-1 \end{gathered}`

The equation now becomes:

y = -x + b

We can use the point (1, 3) to obtain the y-intercept. Using x = 1, and y = 3

3 = -1 + b

b = 3 + 1 = 4

Finally, we can write the equation as:

y = -x + 4