Final answer:
The slope of a line perpendicular to the function x+7y=14 is 7. This is found by rearranging the equation into slope-intercept form, identifying the slope, and then using the negative reciprocal of this value to find the perpendicular slope.
Step-by-step explanation:
To find the slope of a line that is perpendicular to the function x+7y=14,we first need to find the slope of the given function. The equation represents a linear function in standard form, so we need to rearrange it to slope-intercept form (y = mx + b) where m represents the slope of the line. So, if we rearrange the equation, divide every term by 7, we get y = -1/7x + 2.So the slope of the given line is -1/7.
The slope of any line perpendicular to this would be the negative reciprocal of -1/7. We find the reciprocal by flipping the fraction, and the negative of a negative number is positive. Therefore, our answer is 7. So, the slope of the line that is perpendicular to the function x+7y=14 is 7.
Learn more about Perpendicular Slope