What is the equation of this line? A. y=43x−4

B. y=34x−4

C. y=−4x+34

D. y=−4x+43

A. y = 4/3x -4

Step-by-step explanation:

The y-intercept in the slope-intercept formula, y = mx + b, is b. This represents where the x is 0 on the graph. The line on the given graph has a y-intercept at (0, -4). Therefore we are looking for a formula with y = mx - 4. This gets rids of the choices C. and D.

The slope of a line is rise over run. So, how many points do you go up divided by how many points you go right. According to the given graph, to get from (0, -4) to (3, 0) you need to go up 4 and to the right 3. Since slope is rise over run, m = 4/3.

This gets rid of option B., leaving us with A. y = 4/3x - 4.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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