Write the equation of the line in​ slope-intercept form given the slope and the coordinates of the​ y-intercept. m= 6/ 5​;0, 7/ 6

Answer 1

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

Given that the slope (m) = 6/5 and the y-intercept (0, 7/6), we can substitute these values into the slope-intercept form equation:

y = (6/5)x + b

To find the value of b (y-intercept), we substitute the coordinates of the y-intercept (0, 7/6) into the equation:

7/6 = (6/5)(0) + b

Simplifying the equation, we get:

7/6 = b

Therefore, the equation of the line in slope-intercept form is:

y = (6/5)x + 7/6