The y-intercept is 7.
The equation is in form y = mx + b.
b is the y-intercept and m is the slope.
So in this case the slope is 8.
Hope this helps :)
Answer:
both rates of change equal the slope of the line (3/4)
Step-by-step explanation:
Part a)
We calculate the rate of change using the formula:
for the first interval [0,6], we calculate the y-values at x=0 and x=6;
at x=0 :
at x=6 :
therefore, the rate of change in this interval is:
For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;
at x=-4 :
at x=4 :
therefore, the rate of change in this interval is:
Part b):
Notice that both rates of change equal the value of the slope of the linear function (3/2)
Distance formula is SquareRoot of (x2-x1)^2 + (y2-y1)^2
= SQRT( (8-0)^2 + (-8-7)^2 )
=SQRT(64 +225)
=SQRT(289)
= 17
The coefficient for y is -5 in the first equation, +2 in the second equation, so the least common multiple is -10