Y=-x+6 please help me solve this!! Like break it down step by step

Question

i really need help With liner equations and how to solve them!! Please help!!

Answer 1

Jordan,

 

y = -x + 6

 

This linear equation is in slope intercept form.  That means the coefficient of x (-1) is the slope, and 6 is the y-intercept.  If 6 is the y-intercept, you know one point on the line (0, 6).  With one point and the slope, we can graph the line.  If the slope is -1, that means y decreases by 1 as x increases by 1.  So we can plot on the coordinate plane or set up a chart of x and y values.

 

x               y

0               6

1               5

2               4

 

Once you have 3 points, you can graph the equation.

 

You can also solve for a given value of x or y.  If x = 2, solve for y.

 

-2 + 6 = 4

 

I hope that helps!

Answer 2

y = -x + 6 is a linear equation that relates the values of x, the independent variable , with y, the dependent variable.

 

If you know the value of x you can find the value of y (and vice versa).

 

E.g., if x = 11, then

 

y = -(11) + 6 = -5

 

In this equation x can be any real number.

 

We can visualize the relationship expressed by the equation by graphing it on a coordinate plane. When we do this equation's related numbers are plotted as points that are arranged as a straight line.