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.
