Final answer:
To solve y = mx + b using two points, calculate the slope (m) by dividing the change in y by the change in x, then use one of the points to solve for the y-intercept (b) and form the equation of the line.
Step-by-step explanation:
When given two points and asked to solve for the equation of a line in the form y = mx + b, you will first need to calculate the slope, m, which is found by taking the difference of the y-coordinates of the two points (rise) and dividing by the difference of the x-coordinates of those same points (run). This can be expressed as m = (Y2 - Y1) / (X2 - X1). Once the slope is determined, you can use one of the two points to solve for b, the y-intercept, by rearranging the original formula to b = y - mx. This allows you to identify a specific line on a graph.