Final answer:
To write the equation of a line in point-slope form using the point (1, 3) and the slope -3/4, the equation is (y - 3) = -3/4(x - 1).
Step-by-step explanation:
The question seems to have a couple of typographical errors but appears to be asking how to write the equation of a line with a given slope and point in point-slope form. Point-slope form is expressed as (y - y1) = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line. Suppose the point given is (1, 3) and the slope m is -3/4. Using what we know about slope and point-slope form, the equation of the line is: (y - 3) = -3/4(x - 1). This equation is derived by applying the given point and slope to the point-slope formula. In general, knowing the slope and y-intercept of a line allows us to write the linear equation in various forms, including slope-intercept form, which is y = mx + b. Here, b represents the y-intercept, and we understand that for any value of x, when x is 0, the y-intercept is where the line crosses the y-axis.