SOLUTION: Please help - my son is having problems, & I can't help - here is the ? Write the standard form of an equation of the line that passes through the given point and has the give slo

Algebra ->  Linear-equations -> SOLUTION: Please help - my son is having problems, & I can't help - here is the ? Write the standard form of an equation of the line that passes through the given point and has the give slo      Log On


   

Question 18818: Please help - my son is having problems, & I can't help - here is the ?
Write the standard form of an equation of the line that passes through the given point and has the give slope
(1,1), 1/4
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The standard form for a linear equation is: Ax + By = C
Since you are given the slope m+=+1%2F4 and a point on the line (1, 1), you could start with the slope-intercept form of the equation:
y+=+mx+%2B+b Substitute the given slope m+=+1%2F4
y+=+%281%2F4%29x+%2B+b Now substitute the x- and y-coordinates from the given point and solve for b, the y-intercept.
1+=+%281%2F4%29%281%29+%2B+b Subtract 1%2F4 from both sides.
3%2F4+=+b Now write the slope-intercept form of the equation:
y+=+%281%2F4%29x+%2B+3%2F4 Finally, convert this to the standard form: Ax+%2B+By+=+C
%281%2F4%29x+-+y+=+-+3%2F4 Clear the fractions by multiplying through by the denominator (4).
x+-+4y+=+-3 There it is!