Question

ving for y. leave numbers as fractions where necessary. then identify
b. \\( 8x + 10y = 20 \\)

equation:
slope:
\\( y \\)-intercept: ( , )

Explanation:

Step1: Isolate the y-term

Subtract $8x$ from both sides:
$10y = -8x + 20$

Step2: Solve for y

Divide all terms by 10:
$y = \frac{-8x}{10} + \frac{20}{10}$
Simplify fractions:
$y = -\frac{4}{5}x + 2$

Step3: Identify slope

From $y=mx+b$, $m$ is slope:
$m = -\frac{4}{5}$

Step4: Identify y-intercept

From $y=mx+b$, $b$ is the y-value of the intercept (x=0):
$(0, 2)$

Answer:

Equation: $y = -\frac{4}{5}x + 2$
Slope: $-\frac{4}{5}$
y-intercept: $(0, 2)$