Final answer:
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. To find the equation of the line that passes through point S(4,5) and V(3,-2), we can use the formula: y = mx + b, where m is the slope of the line and b is the y-intercept. Plugging in the values (4,5) and (3,-2), we get y = 7x - 23.
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.
To find the equation of the line that passes through point S(4,5) and V(3,-2), we can use the formula: y = mx + b, where m is the slope of the line and b is the y-intercept.
First, we need to find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).
Plugging in the values (4,5) and (3,-2), we get m = (-2 - 5) / (3 - 4) = 7.
Next, we can use the point-slope form of the equation: y - y1 = m(x - x1).
Plugging in the values (4,5) and m = 7, we get y - 5 = 7(x - 4).
Expanding the equation, we get y - 5 = 7x - 28.
Simplifying the equation, we get y = 7x - 23.