Find the x and y intercepts of y=3/4x-7
Mathematics · College · Thu Feb 04 2021
Answered on
Given:
y = ¾x - 7
Determine the x-intercepts and y-intercepts
Solution:
We can solve for the x and y-intercepts separately.
X-intercept
To solve for the x-intercept, we simply need to equate the value of y to 0, then solve for x.
y = ¾x - 7
0 = ¾x - 7
Transpose -7 to the other side of the equation, and multiply both sides by 4/3 in order to cancel out ¾x leaving behind x. We must also take note that in transposing a number, the sign changes.
¾x = 7
(4/3)(¾x) = (4/3)(7)
x = 28/3
x- intercept = 28/3
Y-intercept
In order to solve for the y-intercept, we simply equate x as 0, and solve for y.
y = ¾x - 7
y = ¾ (0) - 7
y = -7
y-intercept = -7
Final answer:
x- intercept = 28/3
y-intercept = -7