Question 18818
The standard form for a linear equation is: Ax + By = C
Since you are given the slope {{{m = 1/4}}} and a point on the line (1, 1), you could start with the slope-intercept form of the equation:
{{{y = mx + b}}} Substitute the given slope {{{m = 1/4}}}
{{{y = (1/4)x + b}}} Now substitute the x- and y-coordinates from the given point and solve for b, the y-intercept.
{{{1 = (1/4)(1) + b}}} Subtract {{{1/4}}} from both sides.
{{{3/4 = b}}} Now write the slope-intercept form of the equation:
{{{y = (1/4)x + 3/4}}} Finally, convert this to the standard form: {{{Ax + By = C}}}
{{{(1/4)x - y = - 3/4}}} Clear the fractions by multiplying through by the denominator (4).
{{{x - 4y = -3}}} There it is!