Greg M.

asked • 07/19/16

Intercepts/Slopes

A slope intercepts at (-4, 3), provide this a Slope/Intercept form equation as well as Standard form equation and a Tables of Values chart like this
(i.e  
x y
-4 4
-3 3½
-2 3
-1 2½
0 2
1 1½
2 1
3 ½
)
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https://www.wyzant.com/resources/answers/228467/slope_intercept

1 Expert Answer

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Inactive Tutor answered • 07/19/16

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Greg,
 
Are you saying that the x-intercept is −4 and the y-intercept is 3, and you want to find the equation of the line?
 
What you asked does not make sense, so could you please make this clearer?
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Greg M.

Yes it is x-intercept -4 and y intercept 3.
I would like to know the Standard form (i.e x + 2y - 4 = 0) of the equation and in Slope/intercept form (i.e y = -1/2x + 2
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07/19/16

Inactive Tutor

Greg,
 
Okay, great. The intercepts give you two points on the line, (-4,0) and (0,3). Find the slope using the slope formula.
 
m = (0-3)/(-4-0) = -3/-4 = 3/4
 
Next, you already know the y-intercept is b = 3. You can now get the slope-intercept form y = mx + b as
 
y = (3/4)x + 3.
 
The standard form can be found by rearranging this correctly.
 
(3/4)x - y = -3
 
3x - 4y = -12
 
3x - 4y + 12 = 0.
 
Let me know if this works for you.
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07/19/16

Asma S.

Great! Thank you Mr.G!
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07/19/16

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