Answer:
Answer is A
Step-by-step explanation:
The slope of a line in an equation like this is the number right before x so if the slope must be -5/6 the the only sequence with that slop is A.
Answer:
A) y=-5/6+1
Step-by-step explanation:
You want to find the equation for a line that passes through the point (6,-4) and has a slope of -5/6.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -5/6. So you can right away fill in the equation for a line somewhat to read:
y=-5/6x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(6,-4). When x of the line is 6, y of the line must be -4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the -5/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (6,-4).
So, why not plug in for x the number 6 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(6,-4). y=mx+b or -4=-5/6 × 6+b, or solving for b: b=-4-(-5/6)(6). b=1.
The equation of the line that passes through the point (6,-4) with a slope of -5/6
is
y=-5/6x+1
