Question

Graphing Find the equation of the line. Use exact numbers

Answer 1

Step-by-step explanation:

We use the equation of line formula:

y = mx + c

We use the slope formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

using any of two points: (0, 5) and (3, -1)

`\begin{gathered} x_1=0,y_1=5,x_2=3,y_2\text{ = }-1 \\ m\text{ = }(-1-5)/(3-0) \\ m\text{ = -6/3 = -2} \end{gathered}`

slope = m = -2

To get the y-intercept (c), we use any point above

(0, 5) = (x, y)

y = mx + c

5 = -2(0) + c

5 = 0 + c

c = 5

The equation of the line:

y = -2x + 5

first box = -2

second