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

Ver imagen calculista

Answer:

the answer is (-2,0) and (0, 2)

Good luck!