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

​(4​,3​), m equals one half

1 answer

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

Given that the slope (m) is one half and the point (4,3), we can substitute these values into the equation to find the y-intercept (b):

3 = (1/2)(4) + b
3 = 2 + b
b = 3 - 2
b = 1

Therefore, the equation of the line is y = (1/2)x + 1.