Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.

Step-by-step explanation:

To write an equation that is perpendicular to a given line, take the negative reciprocal of the given slope. the given slope is 4/3, so the negative reciprocal is -3/4.

Using slope-intercept form of a linear equation, y=mx+b substitute in -3/4 for "m" the slope.

y=-3/4x+b

Now you need to "b" the y-intercept using the given point (-4,-1). Substitute the values in the equation. -1=-3/4(-4)+b simplify

                           -1= 3 + b    subtract 3 for both sides

                           -4=b

         substitue -4 for b.   Now you have    y= -3/4x - 4    this is your answer.