Respuesta :
[tex]y = \frac{3}{4} x - 2 \\ 2 = \frac{3}{4}x - y \\ 1 = \frac{3}{4 \times 2} x - \frac{y}{2} \\ \frac{x}{ \frac{8}{3} } - \frac{y}{2} = 1[/tex]
So x intercept is 8/3
Hope it helps...
Regards;
Leukonov/Olegion.
The slope is [tex]\frac{3}{4}[/tex] and x-intercept is [tex]\frac{8}{3}[/tex] and y-intercept is -2 of the linear equation [tex]y=\frac{3}{4}x-2[/tex].
What is Slope intercept form ?
Slope intercept form is one of the forms used to calculate the equation of a straight line.
i.e. y = mx + b
Here, m= slope and y = intercept ,
We have,
[tex]y=\frac{3}{4}x-2[/tex]
Now,
Compare the given equation with the slope intercept form,
i.e.
y = mx + b
[tex]y=\frac{3}{4}x-2[/tex],
So,
Slope [tex](m)=\frac{3}{4}[/tex],
Now,
To know, the x-intercept,
put y = 0,
i.e.
[tex]0=\frac{3}{4}x-2[/tex]
⇒[tex]\frac{3}{4}x=2[/tex]
We get,
[tex]x=\frac{8}{3}[/tex],
Now,
To know, the y-intercept,
put x = 0,
i.e.
[tex]y=\frac{3}{4}*0-2[/tex]
We get,
y = -2
Hence, we can say that the slope is [tex]\frac{3}{4}[/tex] and x-intercept is [tex]\frac{8}{3}[/tex] and y-intercept is -2 of the linear equation [tex]y=\frac{3}{4}x-2[/tex].
To know more about Slope intercept forms click here
https://brainly.com/question/9682526
#SPJ2
