Question

What is the slope intercept form for the equation of the line provided?

Answer 1

1. The slope intercept form is:

$y=mx+b$

Where $m$ is the slope of the line and $b$ is the intercept with the y-axis.

2. To calculate the slope, you can use the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Where:

$y_2=-1\\y_1=\frac{15}{2}\\x_2=\frac{1}{8}\\x_1=-2$

3. So:

$m=\frac{-1-(\frac{15}{2})}{\frac{1}{8}-(-2)}=-4$

4. Now you must find $b$. Substitute any of the given points into the equation and solve for $b$:

$\frac{15}{2}=-4(-2)+b\\\frac{15}{2}=8+b\\b=-\frac{1}{2}$

5. Therefore, the answer is the last option:

$y=-4x-\frac{1}{2}$