Respuesta :
Explanation:
Slope-intercept form: → [tex]y=mx+b[/tex]
m: represents the slope and is constant.
b: represents the y-intercept.
Rise/run
[tex]\frac{rise}{run}[/tex]
[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
So therefore, the slope for m is -6.
y-intercept for b is -5.
Hope this helps!
Remember that standard form is the following:
[tex]Ax + By = C[/tex]
- [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] are constants
Thus, let's first work on getting [tex]y[/tex] and [tex]x[/tex] to the same side of the equation. Let's subtract [tex]-6x[/tex] from both sides of the equation and see what that gets us:
[tex]y - 6x = -5[/tex]
Rearranging the terms on the left side gets us:
[tex]-6x + y = -5[/tex]
However, in standard form, [tex]A[/tex] must be positive, so let's multiply both sides of the equation by -1 to cancel out the first negative sign:
[tex]6x - y = 5[/tex]
Our answer is 6x - y = 5.