What is the x and y-intercepts of the line described by this equation 3x - 9y = 10.8
Mathematics · High School · Thu Jan 21 2021
Answered on
Given the equation of the line:
3x - 9y = 10.8
Determine the x and y-intercepts
Solution:
In order to determine the x and y-intercepts, we simply need to solve for y in terms of x.
3x - 9y = 10.8
Transpose -9y and 10.8 to their opposite sides of the equation, hence we must take note that in transposing a number, the sign changes.
9y = 3x - 10.8
Divide both sides by 9 in order to cancel out 9y, leaving behind y.
9y/9 = (3x - 10.8)/9
y = ⅓x - 10.8/9
y = ⅓x - 1.2
In order to find the value of the y-intercept we set x = 0.
y = ⅓ (0) - 1.2
y = 1.2
y-intercept = 1.2
In order to find the x-intercept, we set y = 0, and solve for x.
0 = ⅓x - 1.2
⅓x = 1.2
Multiply both sides by 3 in order to cancel out ⅓x leaving behind 2.
(3)(⅓x) = 1.2(3)
x = 3.6
x-intercept = 3.6
Final answer:
y-intercept = 1.2
x-intercept = 3.6