Question

algebra
review passage
find the slope and the y-intercept of the line.
question
$7x + 8y = 59$
select a single answer
slope -7/8; y-intercept (0, 59/8)
slope 8/7; y-intercept (0, 8/59)
slope 7/8; y-intercept (0, 59/8)
slope -8/7; y-intercept (0, 8/59)

Explanation:

Step1: Rewrite to slope-intercept form

Start with $7x + 8y = 59$. Isolate $y$:
$8y = -7x + 59$

Step2: Solve for y

Divide all terms by 8:
$y = -\frac{7}{8}x + \frac{59}{8}$

Step3: Identify slope and intercept

Slope is $x$-coefficient: $-\frac{7}{8}$. Y-intercept is constant term: $(0, \frac{59}{8})$

Answer:

Slope -7/8; y-intercept (0, 59/8)