find the slope intercept form of the equation of the line that passes through the given point (2,7) and y=x-2

Question

find the slope intercept form of the equation of the line that passes through the given point (2,7) and y=x-2

Answer 1

You probably mean the line through the point (2,7) and either parallel or perpendicular to y=x-2?

if parallel, the line is y=x+b where b= the y intercept found by plugging the point into that equation to get

7=2+b. b =5

then the parallel line through the point is y=x+5

if perpendicular, y=-x+b, plug in the point to get 7=-2+b or b =9

the perpendicular line is y=-x+9

parallel lines have the same slope. Perpendicular lines have the negative inverse as the slope

negative inverse of 1 is -1