![19thomasar](/avatars/6776.jpg)
19thomasar
29.06.2020 •
Mathematics
What is the equation of the line, in slope-intercept form, that passes through (3,-1) and (-1, 5)?
2 x + 3 y - 7 = 0
2 y=-3x+7
ASAP PLEASE
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Ответ:
Step-by-step explanation:
The coordinates are (3,-1) and (-1,5)
Finding the slope :
Slope =![\frac{rise}{run}](/tpl/images/0696/9076/245b2.png)
Slope =![\frac{5+1}{-1-3}](/tpl/images/0696/9076/d96e1.png)
Slope =![\frac{6}{-4}](/tpl/images/0696/9076/cab93.png)
Slope =![-\frac{3}{2}](/tpl/images/0696/9076/b3738.png)
Now Finding y-intercept.
For this, we'll take any point
Let it be (3,-1)
So,
Point = (x,y) = (3,-1)
=> x = 3, y = -1
Putting in slope intercept form to get b
=>![y = mx+b](/tpl/images/0696/9076/1661a.png)
=> -1 = (3)(
) + b
=> b = -1 +![\frac{9}{2}](/tpl/images/0696/9076/71b54.png)
=> b =![\frac{7}{2}](/tpl/images/0696/9076/447a9.png)
Putting m and b in the slope intercept form to get the required equation of line
=>![y = mx+b](/tpl/images/0696/9076/1661a.png)
=>![y = \frac{-3x+7}{2}](/tpl/images/0696/9076/86aa0.png)
=>![2y = -3x+7](/tpl/images/0696/9076/7f26f.png)
Ответ:
50ft
Step-by-step explanation: