Answer:
D
Step-by-step explanation:
1. calculate the expression
2.multiple reorder
3.remove parenthesis
The x-coordinate is negative, and the y-coordinate is negative.
This is because the y-axis is vertical, so reflecting across it means you will change the sign of the x-value, and the sign of the y-value will stay constant. Since we start off with a positive x and negative y, we will end up with a negative x and negative y.
2 because rise/run so 8/4 which=2
You need to isolate x, which means you need to get it alone. 16x and 11x are like terms because they both have an x, do subtract them. 16-11=5. So 15 = 5x
Then to turn 5x into x, divide by five. This is because 5/5 is 1, and 1x is x. Divide both sides, so
X = 3
Therefore the equation of the line in function-form is f(x)=-2x-1
An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.
Slope of a line is defined as the inclination of the line along the positive x- axis . Slope is calculated by the formula
where
and
are two points on the line.
y-intercept is defined as the point where the line passes through the y-axis.
From the graph we can see that the line passes through (0,-1)and (-1,1)
therefore slope of the line is

Now we know that the equation of a line passing through a point
and with slope m is given by

Substituting the values in the equation we get
y-(-1)=-2(x-0)
or, y=-1-2x
Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.
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