Please help!! Find the equation of a line containing the point P(4,5) and parallel to the graph 5x+y=-3

Question

Please help!! Find the equation of a line containing the point P(4,5) and parallel to the graph 5x+y=-3

 

_____? 

Answer 1

Solve the equation 5x + y = -3.

y = -5x - 3      Since this equation is now in slope-intercept form, you know the slope of the line is -5. Since parallel lines have equal slopes, the equation of the new line will also be -5.

You now have am point (4,5) and a slope, -5. So, use the Point-Slope form of the equation of a line.

y - y₁ = m(x - x₁)

y - 5 = -5(x - 4)

y - 5 = -5x + 20

y = -5x + 25      or 5x + y = 25