Write the slope-intercept form of the equation of the line described. 15) through: (4,-1) parallel to y=-(3)/(4)x 16) through: (4,5) parallel to y=(1)/(4)x-4 17) through: (-2,-5) parallel to y=x+3 18) through: (4,-4) parallel to y=3

## Step 1The slope-intercept form of a line is given by , where is the slope and is the y-intercept.## Step 2For a line to be parallel to another, their slopes must be equal. Therefore, the slope of the new line will be the same as the slope of the given line.## Step 3The y-intercept of the new line can be found by substituting the given point into the equation and solving for .## Step 4For the line -\frac{3}{4}x\), the slope is . Substituting the point (4, -1) into the equation gives , which simplifies to .## Step 5For the line parallel to , the slope is . Substituting the point (4, 5) into the equation gives , which simplifies to .## Step 6For the line parallel to , the slope is 1. Substituting the point (-2, -5(-5 = 1 * -2 + b\), which simplifies to .## Step 7For the line parallel to , the slope is 0. Substituting the point (4, -4) into the equation gives , which simplifies to .