Answer:
[tex]y+6 = - 5(x-4)[/tex]
Step-by-step explanation:
With the given information, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] to find the answer.
[tex]m[/tex] represents the slope, so substitute -5 in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, so substitute 4 for [tex]x_1[/tex] and -6 for [tex]y_1[/tex]. This gives the following equation:
[tex]y+6 = - 5(x-4)[/tex]
