Answer:
[tex]y =8x+9[/tex]
Step-by-step explanation:
The points are (6,39) and (-5,-49)
We need to find the equation of this line.
The slope is given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
[tex]m = \frac{ - 49 - 39}{ - 5 - 6} [/tex]
[tex]m = \frac{ - 88}{ - 11} [/tex]
[tex]m = 8[/tex]
We use the formula:
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the point (6,39) and m=8 to get:
[tex]y - 39 = 8(x - 6)[/tex]
We expand to obtain:
[tex]y - 39=8x-48[/tex]
[tex]y =8x-48 + 39[/tex]
[tex]y =8x + 9[/tex]
