Question

practice b slope - intercept form write the equation that describes each line in slope - intercept form. 4. slope = 2/5, (10, 3) is on the line

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Substitute given values

We are given that $m=\frac{2}{5}$ and the point $(x = 10,y = 3)$ lies on the line. Substitute these values into $y=mx + b$: $3=\frac{2}{5}\times10 + b$.

Step3: Solve for $b$

First, calculate $\frac{2}{5}\times10$: $\frac{2}{5}\times10 = 4$. Then the equation becomes $3 = 4 + b$. Solving for $b$, we get $b=3 - 4=-1$.

Step4: Write the equation

Now that we have $m=\frac{2}{5}$ and $b = - 1$, the equation of the line in slope - intercept form is $y=\frac{2}{5}x-1$.

Answer:

$y=\frac{2}{5}x - 1$