Question

Find the value of "x" so the line passes through the points provided with the given slope. (7,4), (2, 1) m= 3/4

A) x = 10
B) x = 0
C) x = 7
D) x = 5

Answer 1

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.