A line passes through points (x, 7) and (3, 2). The slope of the line is 1/2. Find x.
a.)5
b.)13
c.)3.5
B)x=13
Thank you:)
To find the value of x, we can use the formula for the slope of a line, which is:
slope = (y2 - y1) / (x2 - x1)
Given that the two points are (x, 7) and (3, 2), we can substitute the values into the formula:
1/2 = (2 - 7) / (3 - x)
Now we can solve for x. First, multiply both sides of the equation by (3 - x) to eliminate the fraction:
(3 - x)(1/2) = -5
Next, distribute the 1/2:
1/2 - (x/2) = -5
To get rid of the fraction on the left side, multiply the entire equation by 2:
1 - x = -10
Now, add x to both sides of the equation to isolate x:
1 + x = -10 + x
The x term cancels out:
1 = -10
This is not a true statement, which means there is no value for x that satisfies the given conditions. Therefore, none of the provided options (a), b), or c)) are correct.