What is the x-intercept of the line represented by the following equation?
5x - 37 = -2
A. (0, 2/3)
B. (2/3, 0)
C. (0, -2/5)
D. (-2/5, 0)
5x - 3y = -2 * whoops
For the x-intercept, let y = 0
(put your pinkie finger over the y term and mentally solve what is left of the equation.)
I see 5x = -2 , so
x = -2/5
Of course we let y = 0, so the point is (-2/5, 0)
To find the x-intercept of a line, we need to set the y-coordinate of the point on the line to zero and solve for x.
The given equation is 5x - 37 = -2.
To solve for x, we isolate the variable by moving all the other terms to the other side of the equation:
5x = -2 + 37
5x = 35
Now, divide both sides of the equation by 5 to solve for x:
x = 35/5
x = 7
Therefore, the x-coordinate of the x-intercept is 7.
Looking at the answer choices:
A. (0, 2/3)
B. (2/3, 0)
C. (0, -2/5)
D. (-2/5, 0)
None of the answer choices have the x-coordinate of 7. Therefore, none of these options represent the x-intercept of the given line.