what equation is parallel to y=2x+5 and passes through the point (-5+4)

Answer 1

One way to solve this is to use the following formula: y - y1 = m(x - x1)

1. m is the slope, x1 and y1 are the given points

So first step is to plug in everything you know; x1 is -5, y1 is 4 and the slope is 2 ( you cna find this by looking at the equation given to you. Now lets plug it into the formula

1. y-4 = 2(x+5)

Now we can simplify this equation using the distributive property.

1. y-4 = 2x+10

Now we have to solve for y to find the equation that passes through the point (-5, 4). So we add 4 to both sides so we can have y by itself

1. y=2x+14

So y=2x+14 is the equation of the line that is parallel to y=2x+5 and passes through the point (-5,4).