Determine the x- and y-intercepts of the graph of y=14x−2 . Then plot the intercepts to graph the equation.
Mathematics · Middle School · Thu Feb 04 2021
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Given the equation:
y = 14x - 2
Determine the x and y-intercept
Solution:
x-intercept
In order to solve for the x-intercetp, we equate the value of y to 0, then solve for x.
0 = 14x - 2
Add +2 to both sides of the equation to cancel out -2.
2 = 14x - 2 + 2
14x = 2
Divide both sides by 14 to determine the value of x.
14x/14 = 2/14
x-intercept = 1/7
y-intercept
To solve for the y-intercept, we equate x to 0.
y = (14)(0) - 2
y-intercept = -2
Final answer:
y-intercept = -2
y-intercept = -2