D. is the correct answer.
Slope intercept form: [tex]y=mx+b[/tex]
m: represents the slope and is constant.
b: represents the y-intercept.
Given the following equation, locate the slope and y-intercept of the line.
For example: [tex]y=-\frac{1}{2}x-8[/tex]
The slope: m= [tex]-\frac{1}{2}[/tex]
The y-intercept: b= [tex]-8[/tex]
Point slope form: → [tex]slope=\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
Used: rise/run
[tex]m=\frac{rise}{run}[/tex]
Given:
[tex](y^1)=m(x^1)[/tex]
[tex]y-3=\frac{2}{3}(x-5)[/tex]
Then you add by the variable on y-3.
[tex]\boxed{y+3=2/3(x-5)}[/tex]
Hope this helps!
Thanks!
Have a great day!
