Answer:
Slope-Intercept Form - y = 12/5x-3
Slope - M = 12/5
The Y-Intercept - B = -3
For finding slope use formula and y-intercept use y=mx+b
m=Slope
b=y-intercept
Answer:
(a) Slope intercept form : [tex]y=\dfrac{12}{5}x-3[/tex]
(b) Slope = 12/5
(c) y-intercept: -3
Step-by-step explanation:
(a)
Slope intercept from of a line is
[tex]y=mx+b[/tex] ..... (1)
where, m is slope and b is y-intercept.
The given equation is
[tex]12x-5y=15[/tex]
Subtract 12x from both sides.
[tex]-5y=-12x+15[/tex]
Divide both sides by -5.
[tex]y=\dfrac{-12x+15}{-5}[/tex]
[tex]y=\dfrac{12}{5}x-3[/tex] .... (2)
Therefore, the slope intercept form is [tex]y=\dfrac{12}{5}x-3[/tex].
(b)
On comparing (1) and (2) we get
[tex]m=\dfrac{12}{5}[/tex]
The slope of the equation is 12/5.
(c)
On comparing (1) and (2) we get
[tex]b=-3[/tex]
The y-intercept of the equation is -3.
