Question

Write an equation in slope-intercept form for the line described.

x-intercept (-9,0), y-intercept (0,2)

The equation of the line is y= .

(Simplify your answer. Type your answer in slope-intercept form. Use i

Answer 1

Answer:

$y = \frac{2x}{9} + 2$

Step-by-step explanation:

The general slope intercept form is:

$y = mx + b$

In which m is the slope and b is the y coordinate of the y-intercept.

y-intercept (0,2)

This means that $b = 2$

So

$y = mx + 2$

x-intercept (-9,0)

This means that when $y = 0, x = -9$. So

$0 = -9m + 2$

$9m = 2$

$m = \frac{2}{9}$

The answer is:

$y = \frac{2x}{9} + 2$