Question

write an equation in slope - intercept form for the line described.\
x - intercept (-8,0), y - intercept (0,1)\
the equation of the line is y = \square.\
(simplify your answer. type your answer in slope - intercept form. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Calculate the slope

Given points $(-8,0)$ and $(0,1)$, use slope formula:
$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-0}{0-(-8)}=\frac{1}{8}$$

Step2: Identify y-intercept

The y-intercept $b$ is the y-value of $(0,1)$, so $b=1$.

Step3: Substitute into slope-intercept form

Slope-intercept form is $y=mx+b$, substitute $m=\frac{1}{8}$ and $b=1$:
$$y=\frac{1}{8}x+1$$

Answer:

$y=\frac{1}{8}x+1$