Answer:
a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.
b) slope:
m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4
y-intercept:
y1 = m*x1 + h
60 = 4*0 + h
60 = h
equation: y = 4x + 60
where y represents scores and x represents hours spent studying
c) The slope indicates that you need to study 1 hour to increase your score in 4 points
The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied
Answer:
x intercepts(-3/2,0)
y intercepts(0,-1)
Step-by-step explanation:
Because 3/4 = 9/12, anything such as 10/12, 11/12, and maybe even 12/12 will work.
The answer would be (1/8) (xy ^ 2).
Equation:
3x ^ 2 y ^ 2 / 24x
=(3/24) (x ^ 2 y ^ 2 / x)
SO simplify it is
= (1/8) (xy ^ 2)
The simplified expression for this case is given by:
(1/8) (xy ^ 2)
Answer:
3rd option
Step-by-step explanation:
The equation of a line in point- slope form is
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁ ) a point on the line
Here m = - 2 and (x₁, y₁ ) = 4. - 6 ) , then
y - (- 6) = - 2(x - 4) , that is
y + 6 = - 2(x - 4)
