Final answer:
To find the value of x so the line passes through the points provided with the given slope, we can use the point-slope formula. By substituting the first point into the formula and solving the equation, we find that x = 3.
Step-by-step explanation:
To find the value of x so the line passes through the points provided with the given slope, we can use the point-slope formula, which is y - y1 = m(x - x1). We are given the points (7,4) and (2,1) with a slope of 3/4. Let's choose the first point (7,4) and substitute it into the formula:
4 - 1 = (3/4)(7 - x)
Simplifying the equation:
3 = (3/4)(7 - x)
Multiplying both sides by 4:
12 = 3(7 - x)
Distributing:
12 = 21 - 3x
Subtracting 21 from both sides:
-9 = -3x
Dividing both sides by -3:
x = 3
Therefore, the value of x so the line passes through the given points with a slope of 3/4 is x = 3.