Find the x and y intercepts of the line: x/a + y/b = 2
thanks!
To find the x-intercept, we set y = 0 in the equation x/a + y/b = 2 and solve for x. To find the y-intercept, we set x = 0 in the equation and solve for y.
Let's find the x-intercept first:
Setting y = 0, we have x/a + 0 = 2.
Simplifying, we get x/a = 2.
To isolate x, we multiply both sides of the equation by a: x = 2a.
So the x-intercept is 2a.
Now let's find the y-intercept:
Setting x = 0, we have 0/a + y/b = 2.
Simplifying, we get y/b = 2.
To isolate y, we multiply both sides of the equation by b: y = 2b.
So the y-intercept is 2b.
Therefore, the x-intercept is 2a and the y-intercept is 2b.