Write the equation of the line that is perpendicular to y=3/4 x - 1 and passes through the point (3,-3).

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

y= ¾x -1

Slope= ¾

The product of the slopes of perpendicular lines is -1.

Let the slope of the line be m.

m(¾)= -1

m= -1 ÷¾

To find the value of the y-intercept, substitute a pair of coordinates into the equation.

When x= 3, y= -3,

c= 4 -3

c= 1

Thus, the equation of the line is .

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