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

Answer:

2x + 5y = -15

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

We have the equation in point-slope form:

$y+7=-\dfrac{2}{5}(x-10)$

Convert it to the standard form:

$y+7=-\dfrac{2}{5}(x-10)$     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

$2x+5y=-15$