Answer:
[tex]\text{B. } (8,6)[/tex]
Step-by-step explanation:
In slope-intercept form [tex]y=mx+b[/tex]:
- [tex]m[/tex] represents slope
- [tex]b[/tex] represents the y-intercept
- [tex](x,y)[/tex] represent the coordinates of any point the line passes through
In slope-intercept form, the equation for the table is given by [tex]y=x-2[/tex], and the equation for the second line is given by [tex]y=\frac{1}{4}x+4[/tex].
To find the point of intersection, set those two equations equal to each other and solve:
[tex]x-2=\frac{1}{4}x+4,\\x-2=0.25x+4,\\0.75x=6,\\x=8[/tex]
[tex]y=x-2,\\y=8-2,\\y=6[/tex]
Therefore, these two lines intersect [tex]\boxed{\text{B. (8,6)}}[/tex]
