Lineqhasanequationof y = -1 8 x + 9 . Parallel tolineqisline r , whichpassesthroughthepoint (-10, 2) . What istheequationofline r ?

If it is parallel it has the same slope, so it will be of the form y = -1.8x + c where c is a constant.

 

To find c use the fact that when x = -10 y = 2 so that 2 = -1.8*(-10) + c or 2 = 18 + c so c = 2 - 18 or c = -16

 

The equation is therefore y = -1.8x - 16