SOLUTION: A triangle is formed by the x-axis, y-axis and the line y=mx+6, where m>0. If the area of the triangle is 48 units squared, then what is the value of m? Thanks!

Question 1037158: A triangle is formed by the x-axis, y-axis and the line y=mx+6, where m>0. If the area of the triangle is 48 units squared, then what is the value of m?
Thanks!
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Clearly the y-intercept is 6. The x-intercept is gotten by letting y = 0 and solving for x, i.e., -6/m. Since m >0, then -6/m < 0.
==> The side of the triangle formed by the origin and the x-intercept has length 6/m.
==> Area =
==> ==> m = 18/48, or .
RELATED QUESTIONS
Find the area of the triangle formed by the line 4x-3y=12, the x-axis and the... (answered by solver91311)

Find the area of the triangle formed by the x-axis, the y-axis, and the line described by (answered by acalgebra)

The x-intercept of a positively-sloped line is -5, and the area of the triangle formed by (answered by josgarithmetic)

A triangle AOB is enclosed by a line, which cuts the y-axis at A and the x-axis at B and... (answered by math_helper)

find the area of triangle formed by the line 3x+5y=15, x-y =5 and the y axis (answered by ewatrrr)

Find the equation of a line parallel to 3x+4y=7 intersect the positive x axis and... (answered by robertb)

Find the area of a triangle bounded by the x-axis,y-axis and the line 3x -... (answered by Alan3354,Boreal)

The x-intercept of a positively-sloped line is -5, and the area of the triangle formed by (answered by Boreal)

a triangle has an area of 10 square units and enclosed by the x-axis, y-axis and the line (answered by rothauserc,MathLover1)