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Find the x-intercept and the y-intercept of the graph of the equation. Do not graph the equation. 5x - 6y = 0

Sagot :

Answer:

Both are (0,0) or the origin

Step-by-step explanation:

Lets put the graph into standard slope - intercept form first

5x - 6y = 0

5x = 6y

5/6 x = y

Here we can see there is no shift in the y-intercept from 0 as there is no "b" value (number that comes after the slope), similarly there is no x-intercept shift  again due to a lack of "b" value. As there is no shift the y/x intercept both are 0.

Another way you can do it is as follows:

X-Intercept: To find the x-intercept, we set (y) to 0 and solve for (x): [5x - 6(0) = 0] [5x = 0] [x = 0] Therefore, the x-intercept is at the point (0, 0).

Y-Intercept: To find the y-intercept, we set (x) to 0 and solve for (y): [5(0) - 6y = 0] [-6y = 0] [y = 0] Thus, the y-intercept is at the point (0, 0).

(in the form y = m*x + b  -> b defines the y intercept and you can factor out m from the right side of the equation to find the x-intercept)