Answer:
x ≥ 1 (how to graph is listed below)
Step-by-step explanation:
To find where we need to plot the line, we first need to solve the inequality for x:
-2x - 3 ≤ -5
(Add three to both sides)
-2x ≤ -2
(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)
x ≥ 1
To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign. ex. ≥, ≤)
Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)
Answer:
y = -4/5x + 14/5
Step-by-step explanation:
Point (6,-2) and (-4,6)
Slope = (6- - 2) / (-4-6) = 8 / -10 = - 4/5
(The slope is negative because La línea is going downhill. Uphill is positive)
You can also find the slope in the graph: rise/run.
y-intersect (any point)
Point (6, -2) (any point)
y-Intercept: -2 - (-4/5)(6) = -2 + 24/5 = 14/5
1) y=3x-4
When x increases by 1, y increases by 3 so the slope is rise/run → 3
y-int is -4 bc y-value is -4 when x=0
2)y=-3x+4
When x increase by 2, y decreases by 6 so the slope is rise/run → -3
y-int is 4 bc y-value is 4 when x=0
3)y=-1/3x+4
When x increase by 3, y decreases by 1 so the slope is rise/run → -1/3
y-int is 4 bc you now have the equation y=-1/3x+b and u just have to plug in random point from the graph, so ex, 6 into x and 2 into y. You can get 4 as b in the equation.
4)y=1/3x-4
When x increases by 6, y decreases by 2 so the slope is rise/run → 1/3
y-int is -4 bc u do the same thing as 3)
For ex, plug in 6 for x and -2 for y and you can get -4 as the b in the equation.
There are 2 bananas because 8 divided by 4 is 2. Hope this helps
Answer:
Blue is linear
Step-by-step explanation:
For lines to be linear on a graph, they have to follow these 2 rules:
-be a straight line
-be written in the form of y=mx+b
Therefore, blue is linear and orange is nonlinear
