Respuesta :

Answer:

This graph would start at (0, 2) and go straight through the point (2, 5).

Step-by-step explanation:

When graphing equations in slope-intercept form, always start at (0, ?) in which the ? is the constant at the end of the equation. In this case, that number would be 2.

Then when we have a fraction for a slope, we can add the top number to the y value and the bottom number to the x number.

(0, 2)

(0+2, 2+3)

(2, 5)

The graph f(x) = 3/2x + 2 is plotted below

The given equation is:

[tex]f(x) = \frac{3}{2} x + 2[/tex].............(1)

The equation is of the form:

f(x)  =  mx   +  c...........(2)

This is a linear graph where:

m represents the slope

and c represents the y-intercept

Comparing equation (1) and equation (2)

The slope, m = 3/2

The y-intercept, c = 2

Plot the graph of the line with m = 3/2 and c = 2

The graph is plotted below

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