Respuesta :
we have
[tex]f(x)=\frac{3}{4}x+2[/tex]
To graph the linear equation find the intercepts
we know that
The x-intercept is the value of x when the value of the function is equal to zero
The y-intercept is the value of the function when the value of x is equal to zero
so
Find the y-intercept
for [tex]x=0[/tex]
[tex]f(x)=\frac{3}{4}*0+2=2[/tex]
the y-intercept is the point [tex](0,2)[/tex]
Find the x-intercept
for [tex]f(x)=0[/tex]
[tex]0=\frac{3}{4}x+2[/tex]
Multiply by [tex]4[/tex] both sides
[tex]0=3x+8[/tex]
[tex]x=-\frac{8}{3}=-2.667[/tex]
the x-intercept is the point [tex](-2.667,0)[/tex]
Plot the intercepts to graph the line
The answer in the attached figure