IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga eksperto. Ang aming mga eksperto ay handang magbigay ng malalim na sagot at praktikal na solusyon sa lahat ng iyong mga tanong.

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.