Question

What is the equation of a line that passes through the point (-1, -7) and has a slope of 5?

Answer 1

Answer:

$y=5x-2$

or

$5x-y-2=0$

Step-by-step explanation:

• Line is passing through the point (-1, -7)

• $\implies x_1 = -1,\: y_1=-7$

• Slope of line (m) = 5

• Equation of line in point-slope form is given as: $y- y_1=m(x-x_1)$

• Substituting the values of $\implies x_1,\: y_1\: \&\: m$ in the above equation, we find:

• $y- (-7)=5[x-(-1)]$

• $\implies y+7=5[x+1]$

• $\implies y+7=5x+5$

• $\implies y=5x+5-7$

• $\implies y=5x-2$

• $\implies 5x-y-2=0$