Answer:
10 - Answer: y = -5x + 7
11 - Answer: y = 3x/2 −8
Explanation:
10 -
The equation of the line in the slope-intercept form is y=4−5x.
The slope of the parallel line is the same: m=−5.
So, the equation of the parallel line is y=−5x+a.
To find a, we use the fact that the line should pass through the given point: 2=(−5)⋅(1)+a.
Thus, a=7.
Therefore, the equation of the line is y=7−5x.
11-
The equation of the line in the slope-intercept form is y=3x2+5.
The slope of the parallel line is the same: m=32.
So, the equation of the parallel line is y=3x2+a.
To find a, we use the fact that the line should pass through the given point: −5=(32)⋅(2)+a.
Thus, a=−8.
Therefore, the equation of the line is y=3x2−8.