The slope-intercept equation is y = 1/2x + 1 which is correct option(D).
What is slope of line?
Slope of line is defined as the angle of line.
Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{3-1}{4-0}[/tex]
[tex]m = \frac{2}{4}[/tex]
[tex]m= \frac{1}{2}[/tex]
So, the y-intercept
y = mx +c
1 = 1/2(0) + c
1 = 0 + c
c = 1
Hence, the slope-intercept equation is y = 1/2x + 1
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