What is the equation of the line that passes through the point left bracket, 1, comma, 1, right bracket(1,1) and has a slope of minus, 5−5?
The equation of a line with slope m and passing through the point (x1, y1) is given by the point-slope form:
y - y1 = m(x - x1)
Substituting the given values, we have:
y - 1 = -5(x - 1)
Expanding the equation:
y - 1 = -5x + 5
Rearranging the equation to the slope-intercept form (y = mx + b):
y = -5x + 6
Therefore, the equation of the line that passes through the point (1,1) and has a slope of -5 is y = -5x + 6.