Find the slope of a line that is perpendicular to the line 4x + 3y - 15 = 0.

3x-4y-15=0 Geometric figure: Straight Line  Slope = 1.500/2.000 = 0.750  x-intercept = 15/3 = 5  y-intercept = 15/-4 = -3.75000Step by step solution :Step  1  :Equation of a Straight Line 1.1     Solve   3x-4y-15  = 0 Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK). "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.In this formula :y tells us how far up the line goesx tells us how far alongm is the Slope or Gradient i.e. how steep the line isb is the Y-intercept i.e. where the line crosses the Y axisThe X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-4y-15  = 0 and calculate its propertiesCalculate the Y-Intercept :Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000  y-intercept = 15/-4  = -3.75000 Calculate the X-Intercept :When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000  x-intercept = 15/3  =  5 Calculate the Slope :Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)    Slope     =  1.500/2.000 =  0.750 Geometric figure: Straight Line  Slope = 1.500/2.000 = 0.750  x-intercept = 15/3 = 5  y-intercept = 15/-4 = -3.75000Hope This Helps!!!