Question

write an equation of the lines that passes through each point with the given slope

Answer 1

4. the equation of the line is of the form y = mx + b, where:

m = - 2

and b:

$\begin{gathered} 0=-2(3)+b \\ 0=-6+b \\ 6+0=-6+b+6 \\ b=6 \end{gathered}$

therefore the equation is:

$y=-2x+6$

5. m = -5

for b:

$\begin{gathered} 4=-5(5)+b \\ 4=-25+b \\ 4+25=-25+b+25 \\ b=29 \end{gathered}$

equation is:

$y=-5x+29$