Question

Parallel to y – 3 = −(x + 1) and passes through (4, 2). Trish states that the parallel line is y – 2 = –1(x – 4). Demetri states that the parallel line is y = –x + 6. Are the students correct? Explain.
Trish is the only student who is correct; the slope should be –1, and the line passes through (4, 2).
Demetri is the only student who is correct; the slope should be –1, and the y-intercept is 6.
Both students are correct; the slope should be –1, passing through (4, 2) with a y-intercept of 6.
Neither student is correct; the slope of the parallel line should be 1.

Answer 1

M = -1 
y-2 = -(x-4) in point slope form 
y = -x + 6 in slope intercept form 
Both equations are equivalent. 
Both students are correct

Answer 2

Both students are correct; the slope should be -1, passing through through (4,2) with a y-intercept of 6.