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ira [324]
1 year ago
5

Use function notation to write the equation of the line. please help

Mathematics
1 answer:
umka21 [38]1 year ago
8 0

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 m=\frac{y_2-y_1}{x_2-x_1}. where (x_1,y_1) and (x_2,y_2) 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

m=\frac{y_2-y_1}{x_2-x_1}\\or, m=\frac{1-(-1)}{-1-0}\\or, m=-2

Now we know that the equation of a line passing through a point (x_1,y_1) and with slope m is given by

y-y_1=m(x-x_1)\\

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.

To learn more about the equation of the line visit:

brainly.com/question/21511618

#SPJ9

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