How do you find the equation of a line with a slope of 2 and containing the points 1,5
To find the equation of a line with a given slope and containing a specific point, you can use the point-slope form of a linear equation. The point-slope form is:
y - y1 = m(x - x1)
Where (x1, y1) represents the coordinates of the given point, and m represents the slope of the line.
In this case, the given slope is 2, and the point is (1,5). Plugging these values into the point-slope form, we get:
y - 5 = 2(x - 1)
Now, simplify the equation:
y - 5 = 2x - 2
To obtain the equation of the line in slope-intercept form (y = mx + b), rearrange the equation:
y = 2x - 2 + 5
y = 2x + 3
Hence, the equation of the line with a slope of 2 and containing the point (1,5) is y = 2x + 3.