The point-slope form of a line's equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
The point (6, 4) and the slope of 1/2 can be used to write the equation of the line in point-slope form:
y - 4 = 1/2(x - 6)
To find the equation of a line given two points, we can find the slope of the line using the formula: m = (y2 - y1) / (x2 - x1). With the points (-7, 8) and (-3, 9), we can calculate the slope:
m = (9 - 8) / (-3 - (-7)) = 1 / 4
Next, we can use one of the points and the slope to write the equation in point-slope form:
y - 8 = 1/4 (x + 7)
or
y - 9 = -1/4 (x + 3)