1/4x + 3/4y = 1 solve to graph linear equation

Convert this to slope-intercept form

subtract 1/4x, 

3/4y=1-1/4x

then multiply my 4/3

y=4/3-1/3x

y=-1/3x+4/3

4/3 is the y-intercept, so when you're graphing begin with it. Then find another point on the graph according to the slope. Plot point (0,4/3) then plot a point with a y-value 1 less and an x-value 3 more. (slope is sometimes called rise over run because it is a ratio of the change in the y-value divided by the change in the x-value) Plot point (3,1/3). Connect the dots with a ruler and draw a line.