Q:

Write the point slope form of the equation of the line passing through the points (-5, 6) and (0.1).

Accepted Solution

A:
Answer:y - 6 = -(x + 5)Step-by-step explanation:Point-slope form of a linear equation is written as:[tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1,y_1)[/tex] is the point and m is the slopeHere, we're given two points: (-5, 6) and (0, 1). We need to find the slope, m. To do so, remember that slope is simply the change (or difference) in y-coordinates divided by the change (or difference) in x-coordinates. So:m = (6 - 1) Γ· (-5 - 0) = 5 Γ· (-5) = -1Thus, the slope is -1.Now, let's just choose (-5, 6) as our point and plug -5 in for [tex]x_1[/tex], 6 in for [tex]y_1[/tex], and -1 in for m:[tex]y-y_1=m(x-x_1)[/tex][tex]y-6=-1(x-(-5))[/tex]y - 6 = -1(x + 5)y - 6 = -(x + 5)~ an aesthetics lover