Question

Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFraction x plus 9.x + 9 y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 5 y = –3x – 11y y = –3x + 25

Answer 1

Answer:

$y=-\frac{1}{3} x+5$

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points $(x_1,y_1)$ and  $(x_2,y_2)$ for the line, use them to find the slope of the line that goes through them, with the formula:  $slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}$

Therefore, the slope of the line must be $-\frac{1}{3}$

Now, find the y-intercept (b) using the general form of a line with the given slope:

$y=-\frac{1}{3}x +b$

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

$y=-\frac{1}{3} x+b\\6=-\frac{1}{3}(-3)+b\\6=1+b\\b=6-1=5$

then the y-intercept must be 5. Therefore our line is : $y=-\frac{1}{3}x +5$ which appears listed as your second choice.

Answer 2

Answer:

B

Step-by-step explanation:

y=-1/3x+5