Representing a Graph with a Slope-Intercept Equation
-5-4-3-2
5
4
3
2
+
2345
y
2 3 4
X
5
A function f(x) is graphed.
What is the slope of the function?
m
What is the y-intercept of the function?
b = v
Which equation represents the graph of the function?

Representing a Graph with a SlopeIntercept Equation 5432 5 4 3 2 2345 y 2 3 4 X 5 A function fx is graphed What is the slope of the function m What is the yinte class=

Respuesta :

Answer:

1.) The slope is 2

2.) The y-intercept is (0,1)

3.) y = 2x + 1

Step-by-step explanation:

1.) you can either use rise over run or the slope formula. rise over run is quicker, but here's the formula:

you can use any two points on the line, i chose (2, 5) and (1, 3)

[tex]\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})} \\[/tex]

[tex]\frac{3-5}{1-2} \\\\\frac{-2}{-1} \\\\\frac{2}{1} \\\\2[/tex]

2.) for the y-intercept, you just look for the point where the graph crosses the y-axis and x = 0

3.) using the formula y = mx + b, m being the slope and b being the y-intercept, you take the information above and plug it in to get y = 2x + 1

i hope this helped!