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Juli2301 [7.4K]
3 years ago
6

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

e left of the line is shaded.
Which linear inequality is represented by the graph?

Mathematics
2 answers:
Grace [21]3 years ago
6 1

Answer:

the correct answer is y>2x+(3/4) and (2,5)

hope this helps

(p.s:Please mark me as brainlyest)

Step-by-step explanation:

I just took the test on E2020

miss Akunina [59]3 years ago
4 0

Answer:

y> \frac{2}{3}x+3

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{3-1}{0+3}

m=\frac{2}{3}

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=\frac{2}{3}

b=3 ----> the y-intercept is the point (0,3)

substitute the values

y=\frac{2}{3}x+3

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

y> \frac{2}{3}x+3

see the attached figure to better understand the problem

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