Answer:
1) y = -3x + 6
Step-by-step explanation:
1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute -3 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of the point the line intersects, substitute the x and y values of (4,-6) into the formula as well. This gives the following equation:
[tex]y+6 = -3(x-4)[/tex]
2) Now, isolate the y in the equation to put it in slope-intercept form and find the answer.
[tex]y + 6 = -3(x-4)\\y + 6 = -3x+12\\y = -3x+6[/tex]
So, the first option is correct.
