74.7k views
4 votes
If Line l^1 has equation y = 11 - 3x Find the Equation of the Line through (5,3) parallel to l^1 So y = ??????

User Ncaralicea
by
5.5k points

1 Answer

2 votes

Answer:

Explanation:

Given equation of line is y = 11 - 3x

The equation takes the form of slope intercept equation ; y = mx + b where, m = slope and b = intercept.

Comparing the equation;

Slope, m = - 3

We obtain the equation of line passing through the point (5, 3) and parallel to the given line ;

y - y1 = m(x - x1)

x1 = 5 ; y1 = 3

y - 3 = - 3(x - 5)

y - 3 = - 3x + 15

y = - 3x + 15 + 3

y = - 3x + 18

User Paul Rey
by
5.0k points