Q:

graph the line for y + 1 equals -3/5 parentheses x subtract 4 parentheses​

Accepted Solution

A:
Answer:The graph is shown below.Step-by-step explanation:Given:Equation of a line is [tex]y+1=-\frac{3}{5}(x-4)[/tex]The equation of a line with a point [tex](x_{1},y_{1})[/tex] and slope [tex]m[/tex] is given as:[tex]y-y_{1}=m(x-x_{1})[/tex]On comparing the given equation with the standard form, we get[tex]x_{1}=4,y_{1}=-1,m=-\frac{3}{5}[/tex]Now, we first plot the point [tex](4,-1)[/tex].Slope is [tex]-\frac{3}{5}[/tex]. This means that we have to move 3 units down and 5 units right to get the slope as negative. We mark the second point there.Now, we plot a line joining both the points. Thus, the graph is drawn.