Question

write the linear equation in slope-intercept form and simplify. 10x - 7y = 0

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 given equation $10x-7y = 0$ for $y$.

Step2: Isolate the term with y

Start with the equation $10x-7y = 0$. Subtract $10x$ from both sides of the equation.
We get $- 7y=-10x + 0$.

Step3: Solve for y

Divide each term in the equation $-7y=-10x$ by $-7$.
Using the division property of equality, $\frac{-7y}{-7}=\frac{-10x}{-7}+\frac{0}{-7}$.
Simplifying each term, we have $y=\frac{10}{7}x+0$, or simply $y = \frac{10}{7}x$.

Answer:

The linear equation in slope - intercept form is $y=\frac{10}{7}x$