Answer:
the value of y is 5 when the line has a slope of 2 and contains the points (1, 3) and (2, y).
Explanation:
To find the value of y in the equation of a line with a slope of 2 and containing the points (1, 3) and (2, y), we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
In this case, the given slope is 2 and the point (1, 3) lies on the line. Substituting these values into the point-slope form, we get:
y - 3 = 2(x - 1)
Expanding and simplifying the equation, we have:
y - 3 = 2x - 2
To find the value of y, we substitute the x-coordinate of the other given point (2, y) into the equation. So we have:
y - 3 = 2(2) - 2
Simplifying further, we get:
y - 3 = 4 - 2
Combining like terms, we have:
y - 3 = 2
To isolate y, we add 3 to both sides of the equation:
y = 2 + 3
Finally, we have:
y = 5
Therefore, the value of y is 5 when the line has a slope of 2 and contains the points (1, 3) and (2, y).