Find an equation in standard form for the line described?
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Has x intercept 6 and y intercept 4
Update : I don't want the answer, I want to know how to solve it. I get to y= ...show more
Best AnswerAsker's Choice
So we first take a look at the givens:
x=6 when y=0 (since xintercept is 6)
x=0 when y=4 (since yintercept is 4)
Since we have two points of this line, we can find its slope.
We get a slope of (40)/(06) or 4/6.
Using the slopeintercept form:
y=(4/6)x+4
We can turn this into standard form by moving all the terms to one side
(4/6)xy+4=0
4x6y+24=0
4x+6y24=0
2x+3y12=0
This equation in standard form is:
2x+3y12=0
P.S.
The reason why your way doesn't work is because the slopeintercept form you're using has to use x and y coordinates from one specific point and you're using information from two different points. The y intercept is a different spot from the x intercept, so the way you're doing it won't give you an answer.
P.P.S. Why am I getting thumbed down? I did everything right. D:
I hope this helped! :)
x=6 when y=0 (since xintercept is 6)
x=0 when y=4 (since yintercept is 4)
Since we have two points of this line, we can find its slope.
We get a slope of (40)/(06) or 4/6.
Using the slopeintercept form:
y=(4/6)x+4
We can turn this into standard form by moving all the terms to one side
(4/6)xy+4=0
4x6y+24=0
4x+6y24=0
2x+3y12=0
This equation in standard form is:
2x+3y12=0
P.S.
The reason why your way doesn't work is because the slopeintercept form you're using has to use x and y coordinates from one specific point and you're using information from two different points. The y intercept is a different spot from the x intercept, so the way you're doing it won't give you an answer.
P.P.S. Why am I getting thumbed down? I did everything right. D:
I hope this helped! :)
Other Answers (4)
Rated Highest
So the line goes through (6,0) and (0,4)
The equation for the line is
y = mx + b
Where m is the slope and b is the y intercept;
Slope = (y2  y1)/(x2  x1)
Slope = (0  4)/(6  0)
Slope = 4/6
The slope is 2/3 and the y intercept is 4, so:
y = 2/3x + 4 
2x+3y=12

If the line has xintercept 6, then it passes through the point (6, 0).
The yintercept is 4, so it passes through the point (0, 4).
From these two points, you can find the slope of the line.
Slope (m) = (y2  y1) / (x2  x1)
= (4  0) / (0  6)
= 4 / 6 = 4/ 6 = 2/3.
The yintercept is 4, so c = 4.
The equation for a straight line is y = mx + c, where m is the slope, and c is the yintercept.
So, the equation of this line is y = 2x/3 + 4.
I hope that helps. :)
ILoveMaths07. 
The slope is 4/6 or 2/3 and the yintercept is 4.
So the equation in slopeintercept form is
y = (2/3)x + 4 Now, put it in standard form.
(2/3)x + y = 4 Multiply by 3 to get
2x 3y = 12
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