contestada

Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
A. Y-3 = 2.5(x-9)
B. y + 3 = 2.5(x + 9)
C. y + 9 = 2.5(x + 3)
O D. y-9 = 2.5(x-3)

Which of the following is the correct pointslope equation for the line that passes through the point 39 and is parallel to the line given by y 25x 20 A Y3 25x9 class=

Respuesta :

akposevictor

Answer:

C. [tex] y + 9 = 2.5(x + 3) [/tex]

Step-by-step explanation:

Point-slope equation takes the form of [tex] y - b = m(x - a) [/tex].

Where,

a and b area coordinates of a point the line passes through. In this case, a = -3, and b = -9

m = slope, in this case, slope will be the same as the slope value of the line it is parallel too = 2.5.

Substitute a = -3, b = -9 and m = 2.5 into [tex] y - b = m(x - a) [/tex].

Thus:

[tex] y - (-9) = 2.5(x - (-3) [/tex]

[tex] y + 9 = 2.5(x + 3) [/tex]