Write an equation of the line that passes through (0,9) and is perpendicular to the line y= -x+1

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

This equation can be written as . Now, we can identify clearly that -1 is the slope of this line. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're calculating for is , or just 1.

Plug 1 into as the slope:

2) Determine the y-intercept (b)

Recall that the y-intercept is the value of y when the line crosses the y-axis. It occurs when x is equal to zero.

The given point is (0,9), meaning that y is 9 when x is 0. Therefore, the y-intercept is 9. Plug this into :

I hope this helps!

the answer is: the length is 5/6 yards.

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step-by-step explanation: