7x+4y=0trying to find the X and Y intercepts.
Mathematics · College · Wed Jan 13 2021
Answered on
Given:
7x + 4y = 0
Find the x and y intercepts.
Solution:
In order to solve for the x and y intercepts, we simply need to solve for x, and y. To start, we can solve first for the y-intercept. This can be done by transposing 7x on the other side of the equation, hence we must take note that in transposing a number, the sign changes. y intercept is often written in the slope-intercept form: y = mx + b, where b is the y-intercept.
4y = -7x
Divide both sides by 4 in order to get the value of y.
y= -7/4x
It can be seen that we only have the slope and no y-intercept therefore the y-intercept is equal to 0.
y-intercept = 0
Now to solve for the x-intercept we change y to 0 and solve for x.
y = -7/4x
0 = -7/4x
x = 0
x-intercept = 0
Final answer:
y-intercept = 0
x-intercept = 0