The graph of [tex]y = \frac 34x +5[/tex] has a slope of 3/4 and a y-intercept of 5
The linear equation is given as:
[tex]y = \frac 34x +5[/tex]
Set x = 0
[tex]y = \frac 34 * 0 +5 = 5[/tex]
Set x = 1
[tex]y = \frac 34 * 1 +5 = 5\frac 34[/tex]
Set x = 2
[tex]y = \frac 34 * 2 +5 = 6\frac 12[/tex]
The above means that, the graph of [tex]y = \frac 34x +5[/tex] passes the following points
[tex](x,y) = \{(0,5), (1, 5\frac 34), (2,6\frac 12)\}[/tex]
See attachment for the graph of the linear function [tex]y = \frac 34x +5[/tex]
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