Question

write the equation of the line passing through (-7,8) and (8,8). the equation of the line is \boxed{}. (simplify your answer. type your answer in slope - intercept form. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Calculate the line's slope

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Substitute $(-7,8)$ as $(x_1,y_1)$ and $(8,8)$ as $(x_2,y_2)$:
$m=\frac{8-8}{8-(-7)}=\frac{0}{15}=0$

Step2: Identify y-intercept

Since the line is horizontal ($m=0$) and passes through points with $y=8$, the y-intercept $b=8$.

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=0$ and $b=8$:
$y=0x+8$
Simplify to get the final equation.

Answer:

$y=8$