Function f(x) has a slope of 32 and a y-intercept of 6 How could you use the graph of this function to find the x-intercept? (1 point) Responses Find the y-coordinate of the point that crosses the y-axis. The x-intercept is 6 . Find the y-coordinate of the point that crosses the y-axis. The x-intercept is 6. Find the y-coordinate of the point where x=1 . The x-intercept is 152 . Find the y-coordinate of the point where x is equal to 1. The x-intercept is 15 halves. Find the x-coordinate of the point that crosses the x-axis. The x-intercept is −4 . Find the x-coordinate of the point that crosses the x-axis. The x-intercept is negative 4. Use the value of riserun for the function, which is 32 .
The correct answer is: Find the y-coordinate of the point that crosses the y-axis. The x-intercept is 6.
To find the x-intercept of the function, we need to determine the x-coordinate of the point where the graph crosses the x-axis.
Since the slope of the function is given as 32 (rise/run), this means that for every 32 units increase in the y-coordinate, there is a 1 unit increase in the x-coordinate.
Given that the y-intercept is 6, we can start from this point and use the slope to move to the x-intercept.
Starting with the y-intercept (0, 6), we move 32 units upward (since the slope is positive) and 1 unit to the right.
Therefore, the x-intercept of the function can be found by adding 1 to the y-intercept's x-coordinate 32 times.
x-intercept = 0 + 1 + 1 + ... + 1 (a total of 32 times)
Simplifying, x-intercept = 0 + 32
Thus, the x-intercept is 32.
To find the x-intercept of a function, you need to locate the point where the graph crosses the x-axis. In other words, you need to find the x-coordinate of the point where the function's y-value is zero.
Given the slope of 32 and the y-intercept of 6, we know that the equation of the function can be written as y = 32x + 6.
To find the x-intercept, set y equal to zero and solve for x:
0 = 32x + 6.
Subtract 6 from both sides:
-6 = 32x.
Divide both sides by 32:
-6/32 = x.
Simplify:
x = -3/16.
Therefore, the x-intercept (the point where the graph crosses the x-axis) is -3/16.