Question

Write in slope-intercept form an equation of the line that passes through the points (−4, 2) and (6,−3).


y=

Answer 1

Answer:  

y = $-\frac{1}{2}$x  

Step-by-step explanation:  

Slope-intercept form: y = mx + b  

    [] m is the slope  

    [] b is the y-intercept  

Slope  

We can find slope by using change in y over change in x:

$\frac{-3-2}{6--4}=\frac{-3-2}{6+4} =\frac{-5}{10} =\frac{-1}{2}$  

    [] So our slope is $-\frac{1}{2}$    

Y-intercept  

We will plug in one of the points into our equation so far, and solve for b:  

    y = $-\frac{1}{2}$x + b  

    (2) = $-\frac{1}{2}$(-4) + b  

    2 = 2 + b

    0  = b  

Have a nice day!  

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)  

- Heather

Answer 2

y=-1/2x+1/2 that’s the equation I drew a graph too