Final answer:
The equation 3x - 10y = -6 can be written in slope-intercept form as y = (3/10)x + (6/10).
Step-by-step explanation:
The equation 3x - 10y = -6 can be written in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. To convert the given equation into slope-intercept form, we need to isolate y on one side of the equation.
First, subtract 3x from both sides of the equation:
-10y = -3x - 6
Next, divide both sides by -10 to solve for y:
y = (3/10)x + (6/10)
Therefore, the given equation in slope-intercept form is y = (3/10)x + (6/10).