Question

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

Answer 1

x + 2y = 18

Step-by-step explanation:

x1 = 0, y1 = 9 = c

x2= 8, y2= 5

$Slope, \: m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$m = \frac{5 - 9}{8 - 0}$

$m = \frac{ - 4}{8}$

$m = \frac{ - 1}{2}$

Now, in slope intercept form,

y = mx + c

y = -x/2 + 9

2y = -x + 18

x + 2y = 18

Answer 2

Answer:

$\bf \small {y = -1/2x + 9}$

Step-by-step explanation:

$\bf(0, 9) and (8, 5)$

• First 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:

$\bf(5 - 9) / (8 - 0)$

• Simplify the parentheses.

$\bf= (-4) / (8)$

• Simplify the fraction.

$\bf-4/8$

$\bf= -1/2$

• This is your slope.

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

$\bf \: y = -1/2x + b$

• To find b, we have 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.

$\bf5 = -1/2(8) + b$

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

$\bf5 = -4 + b$

• Now, add 4 to both sides to isolate b.

$\bf9 = b$

• Plug this into your standard equation.

$\bf \: y = -1/2x + 9$

This is your equation.

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

$y = -1/2x + 9 \\ \\9 = -1/2(0) + 9 \\ \\ 9 = 0 + 9 \\ \\ 9 = 9$

• This equation is correct.