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

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.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b