To find the point-slope form of the line satisfying the given conditions, we can start by using the intercepts to find two points on the line: (-1/2, 0) and (0, 1). Then, we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is a point on the line. The slope of the line can be found using the two points we found:
m = (y2 - y1)/(x2 - x1) = (1 - 0)/(0 - (-1/2)) = 2
Now we can choose one of the points we found and use it in the point-slope formula:
y - 1 = 2(x - 0)
Simplifying this equation gives:
y - 1 = 2x
This is the point-slope form of the line satisfying the given conditions.