Question 1014715
the x-intercept is equal to 2 * the y-intercept.


the x-intercept is the value of x when y is equal to 0.


the y-intercept is the value of y when x is equal to 0.


the coordinate point of the y-intercept is (0,y)


the coordinate point of the x-intercept is (x,0)


this means that the y-intercept is equal to y and the x-intercept is equal to x.


since the x intercept is two times the y intercept, then the x-intercept can be shown as 2y, and the coordinate point of the x-intercept becomes (2y,0).


the coordinate point of the y-intercept is (0,y).
the coordinate point of the x-intercept is (2y,0).


the slope is the change in the value of y divided by the corresponding change in the value of x.


when you go from (0,y) to (2y,0), then the change in the value of y is equal to 0 - y = -y and the change in the value of x is equal to 2y - 0 = 2y.


the slope is therefore -y / 2y which is equal to -1/2.


now that we have the slope, we can figure out the rest of the equation.


the general form of the slope intercept form of the equation of a straight line is y = mx + b.


m is the slope and b is the y-intercept.


the line goes through the point (2,2).


the slope is -1/2.


when the slope is equal to -1/2, the general equation becomes y = -1/2 * x + b


when the line goes through the point (2,2), you can replace y with 2 and x with 2 to get 2 = -1/2 * 2 + b


simplify to get 2 = -1 + b


add 1 to both sides of this eqaution to get 3 = b


your y-intercept is equal to 3, therefore the slope intercept form of the equation of this particular straight line is y = -1/2 * x + 3.


the y-intercept is the value of y when x is equal to 0.


when x = 0, the equation of the line becomes y = -1/2 * 0 + 3 which results in y = 3.


the y-intercept is equal to 3.


the x-intercept is the value of x when y is equal to 0.


when y = 0, the equation becomes 0 = -1/2 * x + 3


subtract 3 from both sides of this equation to get -3 = -1/2 * x


divide both sides of this equation by -1/2 to get 6 = x


when y = 0, x = 6


the x-intercept of the equation is x = 6.


you have:


the y-intercept is 3.
the x-intercept is 6.


the x-intercept is equal to two times the y-intercept.


all requirements of the problem have been satisfied.


your solution is that the equation of the line that passes through the point (2,2) and has an x-intercept that is twice the value of the y-intercept is y = -1/2 * x + 3.