Answer:
Step-by-step explanation:
For two lines to be parallel their slopes must be equal. For two lines to be perpendicular their slopes must be the negative reciprocal of each other.
Step 1 Find the slope of the equation.
Put it into the slope-intercept form. y = mx + b.
For x-y = 7, move the x to the left; therefore subtract the x from both sides. this leaves you -y = -x + 7
Then, divide both sides by -1 to get a positive y. -y/-1 = (-x + 7)/-1
This leaves y = x - 7 The slope(m) for this equation is m = 1
The other equation must also have a slope of 1 or m=1 for the lines to be parallel.
Use the point given to you (-7, -6) and substitute for (x, y)
The slope-intercept form y = mx + b can once again be used.
x = -7, y =-6, and slope or m = 1
Therefore, y = mx + b substituted will be -6 = (1)(-7) + b; now, solve for b which is the y intercept
-6 = -7 + b add 7 to both sides -6 +7 = -7 + b +7 ; therefore, b = 1
Now you know the slope(m) which is equal to 1 and the y-intercept(b) which is equal to 1.
Finally, substitute the m and b in the slope-intercept form
y = (1)x + 1 or y = x +1
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