Question

A line passes through the point (8,5) and has a slope of -3/4. Write an equation in slope-intercept form for this line.

Answer 1

To find the equation in slope-intercept form for his line, first you have to write the general equation:

$y=\text{ m}\cdot x+b$

The slope is mentioned in the statement and is m= -3/4

So

$y=-\frac{3}{4}\cdot x+b$

Then replacing the coordinates of the point in the equation

$\begin{gathered} 5=-\frac{3}{4}\cdot8+b \\ 5=-6+b \\ 11=b \end{gathered}$

So the equation is y = - 3/4 . x + 11

$\frac{\square}{\square}$