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.

Question

asked Dec 25, 2023 195k views

1 Answer

Tedil · Answer 1 · 2023-12-30T02:02:08+0000

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

$y=-(3)/(4)\cdot x+b$

Then replacing the coordinates of the point in the equation

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

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

$(\square)/(\square)$