Question

Find the x-intercept and the y-intercept without graphing. Write thecoordinates of each intercept. When typing the point (x,y) be sure toinclude parentheses and a comma between your x and y components. Donot put any spaces between your characters. If a value is not an integertype your answer rounded to the nearest hundredth.y = -3x + 6the x-intercept is2the y-intercept is6

Answer 1

The x-intercept is the value of x when y = 0. Also, we can represent the x-intercept by the coordinates of the point where y = 0.

To find the x-coordinate for this point, we make y = 0 in the given equation:

y = -3x + 6

0 = -3x + 6

Now, we can apply a series of the same operation on both sides of this equation, until we isolate the variable x and find its value:

0 = -3x + 6

3x + 0 = -3x + 6 + 3x

3x = 6

3x/3 = 6/3

x = 2

Therefore, the point corresponding to the x-intercept is: (2,0)

Now, the y-intercept is the value of y when x = 0. This can also be represented by the coordinates of the point where x = 0. The y-coordinate of this point is found by making x = 0 in the given equation:

y = -3x + 6

y = -3 * 0 + 6

y = 0 + 6

y = 6

Therefore, the point corresponding to the y-intercept is (0,6)