Answer:
The answer is
[tex]y = - 2x + 6[/tex]
Step-by-step explanation:
Remember the equation for line is y = mx + b, where m is the slope of the line and b is the y intercept.
Looking at the graph... an intersects the y-axis at 6 or the y-intercept, b.
Remember that slope m = rise over run. If you look at the graph and start where the line crosses the x-axis at 3 and go over to the left 1 you will go up 2 to where the line crosses a node on the graph. The rise is then 2 and the run is 1 making the slope 2 over 1, or simply 2. also we need to look at the direction of the graph. All graphs are read from left to right. Reading from the left, if the graph goes up to the right the graph is positive. Also reading from the left, if the graph goes down to the right the graph is negative. Since this graph goes down to the right the slope is negative 2. Our equation is then:
[tex]y = - 2x + 6[/tex]
