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Find the standard form for the equation of the line which passes through the point 5,-14 and which has a y-intercept of -1

Respuesta :

Answer:

13x + 5y = -5.

Step-by-step explanation:

As the y intercept of the line is at y = -1 we have:

y = mx - 1    where m is the slope of the line.

When x = 5, y = -14 so:

-14 = 5m - 1

5m = -13

m = -13/5.

So we have y = -13/5 x - 1.

Convert to standard form, first multiply through by 5:

5y = -13x - 5

13x + 5y = -5.