Write an equation in point-slope form for the line through the given point with the given slope.
(10, –9); m = –2
y + 9 = –2(x – 10)
y – 10 = –2(x + 9)
y – 9 = –2(x + 10)
y – 9 = –2(x – 10)
2.
Are the graphs of the lines in the pair parallel? Explain.
y = 6x + 9
27x – 3y = –81
No, since the slopes are different.
Yes, since the slopes are the same and the y-intercepts are different.
No, since the y-intercepts are different.
Yes, since the slopes are the same and the y-intercepts are the same.
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
; (–6, 5)
Are the graphs of the lines in the pair parallel? Explain.
y = x – 17
4x – 6y = –6
No, since the slopes are different.
No, since the y-intercepts are different.
Yes, since the slopes are the same and the y-intercepts are the same.
Yes, since the slopes are the same and the y-intercepts are different.
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
4x – 12y = 2; (10, –1)
y = 3x + 29
y = x + 7
y = x + 29
y = –3x + 29
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
2x + 9y = –30; (–8, 0)
y = x + 36
y = x + 36
y = x + 36
y = x – 8
Write an equation in point-slope form for the line through the given point with the given slope.
(–3, –7); m =
y – 7 = (x + 3)
y – 7 = (x – 3)
y + 3 = (x + 7)
y + 7 = (x + 3)
Are the graphs of the lines in the pair parallel? Explain.
y = 4x – 4
24x – 4y = 96
Yes, since the slopes are the same and the y-intercepts are the same.
No, since the y-intercepts are different.
No, since the slopes are different.
Yes, since the slopes are the same and the y-intercepts are different.
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
–x + 5y = 14; (–5, –2)
y = x – 27
y = 5x – 27
y = –5x – 27
y = x – 15
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = –5x + 3; (–6, 3)
y = –5x + 9
y = –5x + 27
y = 5x – 9
y = –5x – 27
Write an equation in point-slope form for the line through the given point with the given slope.
(8, –3); m =
y – 8 = (x + 3)
y – 3 = (x – 8)
y – 3 = (x + 8)
y + 3 = (x – 8)
Write an equation in point-slope form for the line through the given point with the given slope.
(–10, –1); m =
y + 10 = (x + 1)
y + 1 = (x + 10)
y – 1 = (x – 10)
y – 1 = (x + 10)
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = x – 10; (–6, –29)
y = x + 14
y = x – 14
y = x – 14
y = x mc