the graph of a line in the xy-plane slope 1/3 and contains the point (9,1). the graph of a second line passes through the points (-2,4) and (5,-3). if the two lines intersect at (a, b), what is the value of a+b?

Explanation:

The equations are determined by the definition of line equation:

First line

(Line equation)

(x-Intercept)

The equation of the first line is:

Second line

(Slope)

(x-Intercept)

The equation of the second line is:

First, y is eliminated by equalization and x is found:

(a)

Now, y is finally determined by direct substitution:

(b)

The value of a + b is:

no change is needed