Use the two point (0,9) and (8,5) to write the equation in slope-intercept form.

y = -1/2x + 9

Step-by-step explanation:

(0, 9) and (8, 5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(5 - 9) / (8 - 0)

Simplify the parentheses.

= (-4) / (8)

Simplify the fraction.

-4/8

= -1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, 5). Plug in the x and y values into the x and y of the standard equation.

5 = -1/2(8) + b

To find b, multiply the slope and the input of x(8)

5 = -4 + b

Now, add 4 to both sides to isolate b.

9 = b

Plug this into your standard equation.

y = -1/2x + 9

This is your equation.

Check this by plugging in the other point you have not checked yet (0, 9).

y = -1/2x + 9

9 = -1/2(0) + 9

9 = 0 + 9

9 = 9

Your equation is correct.

Hope this helps!