A line has a slope of one half and passes through the point (6,7) write its equation in slope intercept form
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is one-half, we can substitute m = 1/2 into the equation.
To find the value of b, use the point (6,7) which lies on the line.
Substitute x = 6 and y = 7 into the equation y = mx + b:
7 = (1/2)(6) + b
Multiply 1/2 by 6:
7 = 3 + b
Subtract 3 from both sides of the equation:
4 = b
Now, we have the slope m = 1/2 and the y-intercept b = 4.
The equation of the line in slope-intercept form is:
y = (1/2)x + 4