Question 266532: Find the slope and the y-intercept of the line
5x=7y+14
The slope is?
The y-intercept is? Found 2 solutions by Alan3354, Theo:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Put the eqn in slope-intercept form, y = mx + b
That means solve for y.
m is the slope
b is the y-intercept
I don't see any point in me doing it, but I'll check your answers if you email me via the thank you note.
the slope intercept form is y = mx + b where m is the slope and b is the y-intercept.
your equation is:
5x = 7y + 14
subtract 14 from both sides of the equation to get 7y = 5x - 14
divide both sides of the equation by 7 to get y = (5/7)x - (14/7)
your slope is (5/7) and your y-intercept is (14/7)
graph of your equation is shown below:
when x is 0, y is -2 (same as -(14/7).
that's your y-intercept.
for every 7 units to the right for x, y moves up 5 units.
when x is 0, y is -2.
when x is 7, y is 3.
that's a movement of up 5 for y when x moves right 7.
that's your slope (5/7) which is change in y divided by change in x.
your original equation is:
5x = 7y + 14
make x = 0 and you get 0 = 7y + 14
subtract 14 from both sides of equation to get 7y = -14
divide both sides by 7 to get y = -2 (y-intercept).
the y-intercept equals the value of y when x = 0.
to see if the slope is accurate, make x = 7 in the original equation.
5x = 7y + 14 becomes 5*7 = 7y + 14 becomes 35 = 7y + 14.
subtract 14 from both sides to get 7y = 35-14 which becomes 7y = 21.
divide both sides by 7 to get y = 3.
the original equation gives you the same results as the slope intercept form of the original equation which it should do so you're good all around.
