Question

The point slope form of the eqaution of the line that passes through (-5,-1) and (10, -7) is y+7= -2/5 (x - 10) what is the standard form of the equation for this line 2x-5y=-15 2x-5y= -17 2x+5y=-15 2x+5y=-17

Answer 1

2x + 5y = -15

Explanation:

The standard form of an equation of a line:

`Ax+By=C`

We have the equation in point-slope form:

`y+7=-(2)/(5)(x-10)`

Convert it to the standard form:

`y+7=-(2)/(5)(x-10)` multiply both sides by 5

`5y+35=-2(x-10)` use the distributive property a(b + c) = ab + ac

`5y+35=(-2)(x)+(-2)(-10)`

`5y+35=-2x+20` subtract 35 from both sides

`5y=-2x-15` add 2x to both sides

`2x+5y=-15`