Write an equation in slope-intercept form that satisfies the information given about the line

Has a slope of -3 and goes through the point (3, 1)

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

Given that the slope is -3 and the line goes through the point (3, 1), we can substitute these values into the equation.

m = -3, x = 3, and y = 1.
1 = -3(3) + b.

Simplifying the equation:
1 = -9 + b.

Adding 9 to both sides:
1 + 9 = -9 + b + 9.
10 = b.

Therefore, the equation in slope-intercept form is:
y = -3x + 10.