Answer:
(0, -6) and (8, 0)
[tex]\dfrac{4}{3}[/tex]
[tex]y=\dfrac{3}{4}-6[/tex]
Step-by-step explanation:
(a) [tex]3x-4y=24[/tex]
Let [tex]x=0[/tex]
[tex]0-4y=24\\\Rightarrow y=-6[/tex]
Let [tex]y=0[/tex]
[tex]3x-0=24\\\Rightarrow x=8[/tex]
Two coordinates are (0, -6) and (8, 0)
(b) Slope is given by
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\Rightarrow m=\dfrac{0-(-6)}{8-0}\\\Rightarrow m=\dfrac{3}{4}[/tex]
The slope of the equation is [tex]\dfrac{4}{3}[/tex]
(c)
[tex]3x-4y=24\\\Rightarrow 4y=3x-24\\\Rightarrow y=\dfrac{3}{4}-6[/tex]
The slope intercept form of the equation is [tex]y=\dfrac{3}{4}-6[/tex]
