The slope of the function f(x) is m = 2
The y-intercept of the function f(x) is b = 1
The equation that represents the graph of the function is y = 2x + 1
The graph passes through the points (0, 1) and (1, 3)
That is, [tex]x_1=0, y_1=1, x_2=1, y_2=3[/tex]
The slope of the line is given by the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute [tex]x_1=0, y_1=1, x_2=1, y_2=3[/tex] into the formula above
[tex]m=\frac{3-1}{1-0} \\\\m=\frac{2}{1}\\\\m=2[/tex]
The y-intercept is point where the line intersects the y-axis
From the graph shown, the line intersects the y-axis at y = 1
Therefore, the y-intercept, c = 1
The slope-intercept form of the equation of a line is given as:
y = mx + c
substitute m = 2 and b = 1 into the equation y = mx + b
y = 2x + 1
Learn more here: https://brainly.com/question/18936164
