Write the equation of the line in Standard Form that passes through the points (3, 2) and (5, 8).
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OpenStudy (jamaljunior):
@pooja195
563blackghost (563blackghost):
You would find the slope and y-intercept....
\(\huge{\frac{8-2}{5-3}=slope}\)
What is the slope?
OpenStudy (jamaljunior):
3
OpenStudy (jamaljunior):
@563blackghost
OpenStudy (jamaljunior):
@jackthegreatest
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OpenStudy (jackthegreatest):
yes slope = 3
OpenStudy (jackthegreatest):
y = mx +b
8 = 3 (5) + b
solve for b
OpenStudy (mathmale):
And then, once you have 'b,' write the general equation in the form y = mx + b. Use the m and b values you've just found.
OpenStudy (jackthegreatest):
yep
OpenStudy (jamaljunior):
so 8 = 15?
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OpenStudy (jackthegreatest):
8 = 15 + b
OpenStudy (jackthegreatest):
b = -7
OpenStudy (jamaljunior):
is the answer 3x + y = -7
OpenStudy (mathmale):
"8 = 15?" No, never.
OpenStudy (mathmale):
Choose either of the given points. Subst. the x- and y-coord. of this point into your own equation. Is the equation then true?
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OpenStudy (jamaljunior):
isthis the answer though?
OpenStudy (jamaljunior):
3x + y = -7
OpenStudy (mathmale):
I encourage you to learn ways in which you can check your own work. For this particular case I gave you the following advice earlier: 'Subst. the x- and y-coord. of this point into your own equation. Is the equation then true?" Please follow through. subst. 5 for x and 8 for y. Is the resulting equation true or not?