Final answer:
The question asks for the equation of a line with a given slope of 4 that passes through the point (3, 2), which is expressed in point-slope form as y - 2 = 4(x - 3).
Step-by-step explanation:
The slope of a line is a measure of how steep the line is, which is calculated as the change in y (rise) divided by the change in x (run). The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept. Given that the slope of the line is 4 and it passes through the point (3, 2), we can use the point-slope form of the linear equation, which is y - y1 = m(x - x1), to write the equation of the line.
To find the equation through the provided point, we substitute m with 4, x1 with 3, and y1 with 2, giving us y - 2 = 4(x - 3). This is the equation of the line in point-slope form that satisfies the given conditions.