SOLUTION: I want to now step by step because I don't understand how to do this. the directions are find an equation in standard form for the line passing through the given point with the giv

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Question 946324: I want to now step by step because I don't understand how to do this. the directions are find an equation in standard form for the line passing through the given point with the given information. the problem is (-1,-1), m= 1/4.
Found 3 solutions by stanbon, Alan3354, josgarithmetic:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I don't understand how to do this. the directions are find an equation in standard form for the line passing through the given point with the given information. the problem is (-1,-1), m= 1/4.
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Form:: y = mx + b
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You have x,y and m ; solve for "b"::
-1 = (1/4)(-1) + b
-1 = (-1/4) + b
(-4/4) = (-1/4) + b
b = -3/4
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Equation:
y = (1/4)x - (3/4)
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Cheers,
Stan H.
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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I want to now step by step because I don't understand how to do this. the directions are find an equation in standard form for the line passing through the given point with the given information. the problem is (-1,-1), m= 1/4.
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There aren't many steps.
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y - y1 = m*(x-x1) where (x1,y1) is the point
y+1 = (1/4)*(x+1)
Convert to standard form:
4(y+1) = x+1
4y + 4 = x + 1
x - 4y = 3

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The simplest way is to plug in the data into the point-slope form equation, and convert into standard form; but you might not yet know point-slope form. You can, instead, use slope-intercept form, and separately solve for the y-intercept, and convert from the slope-intercept form equation to the standard form equation.

y=mx%2Bb
b=y-mx
You are given a point and a slope; so substitute these to find the value of b.
b=-1-%281%2F4%29%28-1%29
b=-1%2B1%2F4
b=-%283%2F4%29

The equation in SLOPE-INTERCEPT FORM is highlight_green%28y=-%281%2F4%29x-3%2F4%29.

You want the equivalent equation in a form Ax%2BBy=C, which is a basic STANDARD FORM equation for a line. Make the necessary algebra steps!