Answer:
x = 1/4
Explanation:
To find the x-intercept of the graph of the linear equation y = -12x + 3, we can let y = 0 and solve for x.
Setting y = 0, the equation becomes:
0 = -12x + 3
To isolate x, we can subtract 3 from both sides:
-3 = -12x
Now, we divide both sides by -12:
(-3)/(-12) = x
1/4 = x
Therefore, the x-intercept of the graph is x = 1/4.
What are x-intercepts?
In mathematics, specifically in the context of graphing functions, x-intercepts are the points at which a graph intersects the x-axis. They represent the values of x for which the function's output, or y-value, is equal to zero.