Final answer:
To write the equation y-2=-10(x-1) in slope-intercept form, isolate the y term by distributing -10 to the terms in the parentheses and moving -2 to the other side. The resulting equation, y = -10x + 12, is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Step-by-step explanation:
To write the equation y-2=-10(x-1) in slope-intercept form, you need to isolate the y term. Distribute -10 to the terms in the parentheses:
y - 2 = -10x + 10
Move -2 to the other side of the equation:
y = -10x + 12
Now the equation is in the form y = mx + b, where m represents the slope (-10 in this case) and b represents the y-intercept (12 in this case).
Learn more about Writing equations in slope-intercept form