Write the linear inequality shown in the graph.
1 answer:
Fist, in the equation y=mx+b, b is the y-intercept. The y-intercept is the poin on the line that crosses the x-axis; the y-intercept is the value of yThese equations follow that format.
Y=mx+b
y
3x-4. <-----In this equation, the slope(m)=3 b= -4.
On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.
The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.
For example, I'll choose to plug in (-4,4) into the y 3x-4.
y 3x-4.
(4) (3(-4))-4.
(4) (-12)-4.
(4) -16
So, this statement is true becasue -16 is less than positive 4. Therefore, the correct answer would be y 3x-4. Hope that helped! Comment back with any further questions!
Y=mx+b
y
On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.
The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.
For example, I'll choose to plug in (-4,4) into the y
y
(4)
(4)
(4)
So, this statement is true becasue -16 is less than positive 4. Therefore, the correct answer would be y
You might be interested in
Answer:
(i)
y-intercept is -2
(ii)
slope is
(iii)
slope is positive
(iv)
another point is (3,0)
Step-by-step explanation:
We are given equation as
now, we can compare it with slope intercept form of line
y=mx+b
where
m is slope
b is y-intercept
we get
So,
(i)
y-intercept is -2
(ii)
slope is
(iii)
we can see that
is a fraction and positive
so, slope is positive
(iv)
we can select any random value of x and find y
that will give us second point
Let's assume
x=3
So, another point is (3,0)
(v)
Graph:
