check the picture below.
since we know all those interior points are midpoints, then those interior lines are midsegments, recall the midsegment is half the parallel base.
in this case, the green DF || AC, and since AC is 50, DF is half that, 50/2.
1) y=(7/2)x-2.
Slope is the coefficient of x, that is 7/2
Intercept x is the value of x when y = 0 ==> 0=(7/2) X - 2==> 7/2x=2 &x=4/7
so intercept x, (4/7,0)
Intercept y is the value of y when x=0 ==> y= (7/2).(0) - 2 ==> y = 2
and so intercept y, (0,-2)
Now you will follow the same logic to find the are same questions
2) y= -6x + 3 ==>Slope= -6, Intercept x =1/2 & intercept y=3
3) y=-5 has a slope 0 (it doesn't exist). The graph is a line // to x-axis at y=-5
4)y=(6/5)x + 1:==>Slope= -5/6, Intercept x =-5/6 & intercept y=1
5) y=(1/4)x + 2 ==>Slope= 1/4, Intercept x =-8 & intercept y=2
6) x=5, this ligne is // to y axis at x=-5
Answer:
y ≤-1/2 x-1
y < -4x+25
Step-by-step explanation:
The y intercept is -1
The slope is negative since the line goes down from left to right
The line is y = -1/2 x -1
The line is solid so there is an equals in the inequality
The graph is shaded below the line
y ≤-1/2 x-1
Question 5
The y intercept is 25
The slope is negative since the line goes down from left to right
The slope is (y2-y1)/ (x2-x1) = (49-25)/(-6-0) = 24/-6 = -4
The line is y = -4 x +25
The line is dotted so there is NOT an equals in the inequality
The graph is shaded below the line
y < -4x+25
Step-by-step explanation:
Each term is double the previous term. The recursive formula is:
aₙ₊₁ = 2 aₙ
The first term is 9, so the explicit formula is:
aₙ = 9 (2)ⁿ⁻¹
