Given:
Point = (1,-4), Slope - 8
Point = (1,5), Slope =1
To find:
The slope-intercept forms of the given lines.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
The point slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
where, m is the slope of the line.
We have, Point = (1,-4), Slope - 8. So, the equation of the line is:
[tex]y-(-4)=-8(x-1)[/tex]
[tex]y+4=-8x+8[/tex]
[tex]y=-8x+8-4[/tex]
[tex]y=-8x+4[/tex]
Therefore, the correct option is B.
We have, Point = (1,5), Slope =1. So, the equation of the line is:
[tex]y-5=1(x-1)[/tex]
[tex]y-5=x-1[/tex]
[tex]y=x-1+5[/tex]
[tex]y=x+4[/tex]
Therefore, the correct option is D.
