Answer (assuming that the equation can be written in point-slope form):
[tex]y-8 = -5(x+\frac{1}{2} )[/tex]
Step-by-step explanation:
Use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] , to write the equation of the line in point-slope form. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope, substitute -5 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: [tex]-\frac{1}{2}[/tex]. So, substitute [tex]-\frac{1}{2}[/tex] for [tex]x_1[/tex] and 8 for [tex]y_1[/tex]. This gives the following answer and equation:
[tex]y-8 = -5(x+\frac{1}{2} )[/tex]
