Write the equation of the line in​ slope-intercept form given the slope and the coordinates of the​ y-intercept.

  
m= 3/8; (0, 9/4)

1 answer

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

Given that the slope (m) is 3/8 and the coordinates of the y-intercept is (0, 9/4), we can substitute these values into the equation to find the value of b.

Using the coordinates (0, 9/4), we have:
9/4 = (3/8)(0) + b
9/4 = b

So the value of b is 9/4.

Therefore, the equation of the line in slope-intercept form is:
y = (3/8)x + 9/4