Which equation shows a slope of -5 and a y-intercept of (0,1) ?y = -1x - 5y = -5x + 1y = 1x - 5y = 5x = 1

Answer:The equation that represents a slope of -5 and y-intercept of (0,1) is:[tex]f(x) = -5x + 1[/tex]Step-by-step explanation:The equation of a line can be described by a first order equation in the following format:[tex]f(x) = ax + b[/tex]In which a is the slope of the line and b is the y-intercept.Solution:The problem states that the slope is -5, so:[tex]a = -5[/tex]y intercept is (0,1), so[tex]b = 1[/tex]The equation that represents a slope of -5 and y-intercept of (0,1) is:[tex]f(x) = -5x + 1[/tex]Why the others are wrong?[tex]y = -1x - 5[/tex]Here, the slope is -1, and the y-intercept is (0,-5).[tex]y = 1x-5[/tex]For this option, the slope is 1 and the y-intercept is (0,-5).[tex]y = 5x - 1[/tex]Is it 5x - 1? If so, the slope is 5, and the y-intercept is (0,-1).