Question 919482
the y-intercept is the value of y when x = 0.
when x = 0, the equation of y = 3/4 * x - 6 becomes y = 3/4 * 0 - 6 which becomes y = -6.
point A is at (0,-6)


the x-intercept is the value of x when y= 0.
when y = 0, the equation of y = 3/4 * x - 6 becomes 0 = 3/4 * x - 6.
add 6 to both sides of this equation to get 6 = 3/4 * x.
multiply both sides of this equation by 4/3 to get 4/3 * 6 = x.
solve for x to get x = 8.
point B is at (8,0)


the area of the triangle is equal to 1/2 * base * height.
base = 8
height = 6
area = 1/2 * 8 * 6 = 4 * 6 = 24 square units.