Find the slope and y-intercept that has infinite solutions to the equation 8x + 5y = 25
The slope would be
The y-intercept would be
(Do not list as a coordinate point.)
To find the slope and y-intercept that has infinite solutions to the equation, we need to rearrange the equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Starting with the given equation:
8x + 5y = 25
Subtracting 8x from both sides:
5y = -8x + 25
Dividing both sides by 5:
y = (-8/5)x + 5
Now we can see that the coefficient of x, -8/5, represents the slope (m), and the constant term 5 represents the y-intercept (b).
Therefore, the slope is -8/5 and the y-intercept is 5.