Question

write the linear equation in slope-intercept form and simplify.
8x - 2y = 2
show your work here
y = 4x - 1
write the linear equation in slope-intercept form and simplify.
10x - 16y = 6

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We need to solve the equation $10x-16y = 6$ for $y$.

Step2: Isolate the $y$ - term

Subtract $10x$ from both sides of the equation $10x - 16y=6$. We get:
$-16y=- 10x + 6$

Step3: Solve for $y$

Divide each term in the equation $-16y=-10x + 6$ by $-16$.
$y=\frac{-10x}{-16}+\frac{6}{-16}$
Simplify the fractions. $\frac{-10}{-16}=\frac{5}{8}$ and $\frac{6}{-16}=-\frac{3}{8}$. So $y=\frac{5}{8}x-\frac{3}{8}$

Answer:

$y = \frac{5}{8}x-\frac{3}{8}$