Answer:

Explanation:
An equation that satisfies all the values of a and b as listed is equation of line that passes through points A (0,-10), B (1,-7) and C (2,-4).
To understand this, first of all find points on a graph and connect the points. The result is a straight line passing through A, B and C.
The equation of straight line is given by:

where m is slope of line and b is the y-intercept.
The slope of a line is given as :
where dy is change in y and dx is change in x.
To find slope consider any two points from line. Let us consider A and C for this example. A(0,-10) is starting point of line and C (2,-4) is ending point of line ( we can also consider C as start point. It simply depends on choice).
Therefore, m= -4 -(-10) / 2-0 = -4+10/2= 6/2=3
Slope m= 3
On substituting value of m into equation.

To find b, take any point A, B or C and simply put the value of y and x into the equation. We do this as A , B and C are simply solutions of the equation and thus can be used.
Taking C and substituting values:
-4= 3*2 + b
b=-10
The resultant equation is as follows:
