Graph f(x)=34x+2. Use the line tool and select two points to graph the line.

Accepted Solution

we have[tex]f(x)=\frac{3}{4}x+2[/tex]To graph the linear equation find the interceptswe know thatThe x-intercept is the value of x when the value of the function is equal to zeroThe y-intercept is the value of the function when the value of x is equal to zeroso  Find the y-interceptfor [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-interceptfor [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 lineThe answer in the attached figure