Write an equation of the line through the given point with the given slope. Write the equation in​ slope-intercept form.

​(6​,1​), m = 0.5

1 answer

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Since the slope is given as 0.5 and the point (6, 1) lies on the line, we can substitute these values into the equation.

The equation becomes:
1 = 0.5(6) + b

Simplifying:
1 = 3 + b

Next, isolate b:
b = 1 - 3
b = -2

Therefore, the equation of the line is:
y = 0.5x - 2