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Which of the following equation of a line has a slope of -5 and a point (1, 1)?
A.
y = 6x - 5
B.
С. x + 5y = 6
D. 5x + y = 6
y = -5x + 6​


Sagot :

Which of the following equation of a line has a slope of -5 and a point (1, 1)?

A. y = 6x - 5

B. x + 5y = 6

C. 5x + y = 6

D. y = -5x + 6

Step-by-step explanation:

A slope-intercept equation is in the form, y = mx + b, where m is the slope.

In this problem, OPTIONS C and D are the same equations. It has a slope of -5 and has a coordinate, (1,1). To illustrate,

[tex]5x + y = 6 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = - 5x + 6[/tex]

If x = 1,

[tex]y = - 5(1) + 6 = 1[/tex]

we get y = 1.

ANSWER:

Therefore, C and D are both correct.