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A coordinate plane with a line passing through (negative 3, negative 5), (0, 1), and (2, 5).
A function f(x) is graphed.
What is the slope of the function?
m =
What is the y-intercept of the function?
b =
Which equation represents the graph of the function?

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mobilegamingexpert

Answer:

m=2

b=1

y=2x+1

Step-by-step explanation:

First, slope is change in y over change in x, or rise over run. Plugging these points in, (y2-y1)/(x2-x1)=(1--5)/(0--3), or 6/3, simplifying, the slope= 2.

Next, the y-intercept is where the line intersects the y-axis, or when x is 0. Looking at the point (0,1), the y intercept is 1.

Using slope intercept form, y=mx+b, or y=2x+1.

The slope of the given line is m = 2 , the y intercept is c = 1.

What is a straight line?

A straight line is just a line with no curves. Equation of a straight line is:

y = mx + c

m - slope of the line

c - y intercept of the line

Points through which the line passes = (-3, -5), (0, 1), (2, 5)

m = (y2 - y1)/(x2 - x1)

m = (1 - (-5))/(0 - (-3))

m = 6 / 3

m = 2

Equation of line is y = 2x + c

Point (2, 5) also satisfies the line equation

5 = 4 + c

c = 1

Hence, the value of slope of the line is m = 2 and the value of y intercept is c = 1.

Learn more about line equations on:

https://brainly.com/question/18831322

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