Answer:
The equation for the line is y = -2x+1
Explanation:
The equation of a line is y=mx+b, where m is our slope, and b is our y-intercept (where the line crosses the vertical axis line).
To find our m we use rise over run (how far up it goes, divided by how far left or right it goes).
We see one point at (0,1) and another at (-3,7). Using rise over, we start at the first y point and count up. Our first y point is 1 (since the system is given by (x,y) ). Our second y point is 7. The difference between 1 and (also known as 7-1 ) is 6 units.
Our first x point is 0 and our second y point is -3. The difference between -3 and 0 (also known as -3-0 ) is -3.
Now we put the change in x over the change in y to find the slope. It is (6/-3) also known as 6 divided by negative three which is equal to -2.
Out b is found easily and we just see where our line crosses the y-axis, which is at +1.
So we say m=-2, b=+1, therefore y=-2x+1