Function J is shown on the coordinate grid below. If the y-intercept of Function R is 3 greater than the y-intercept 2of Function J, which equation could represent Function R? Responses A y = -x + 6.5y = - x + 6.5 B y = x + 5y = x + 5 C y = -2x – 5y = -2 x – 5 D y = -2x – 6.5
The y-intercept of a function is the value of y when x = 0.
Looking at the graph, the y-intercept of Function J appears to be around y = -3.
According to the information given, the y-intercept of Function R is 3 greater than the y-intercept of Function J.
So, the y-intercept of Function R would be y = -3 + 3 = 0.
The y-intercept of Function R is 0, which means the equation representing Function R would have the form y = mx + b, with b = 0.
Among the given equations, the equation that matches this form is:
C) y = -2x - 5