Answer:
y = 8/7x -1/7
Explanation:
You want the linear equation 16x -14y = 2 written in slope-intercept form.
Slope-intercept form
The slope-intercept form of the equation for a line is ...
y = mx +b . . . . . where m is the slope and b is the y-intercept
We can get this form by solving the given equation for y:
16x -14y = 2 . . . . . given
16x -2 = 14y . . . . . add 14y -2 to both sides
16/14x -2/14 = y . . . . divide by 14
y = 8/7x -1/7 . . . . . swap sides and reduce fractions