A line goes through the point (1, 1) and has a slope of -2. Write the equation of this line in slope-intercept form.

*y* = *x* +

A linear equation of a slope-intercept form *y* = m*x* + b , m is the slope and b is the *y*-intercept.

We know the slope and a point on the line, so we can plug m =-2, *x* = 1, *y* = 1, into *y* = m*x* + b and solve for b.

1 = -2(1) + b; b = 3.

The equation of this line is therefore* y* = -2*x* + 3.