Answer:
The slope is 13.
The x intercept is [tex]x=\frac{-12}{13}[/tex].
The y intercept is [tex]y=12[/tex].
Step-by-step explanation:
1. Finding the slope.
This is a linear equation, because it's graph forms a line. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, the slope is 13.
2. Finding the x intercept.
The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:
[tex]13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}[/tex]
The x intercept is [tex]x=\frac{-12}{13}[/tex].
3. Finding the y intercept.
The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:
[tex]13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12[/tex]
The y intercept is [tex]y=12[/tex].
