Mathematics, 27.12.2020 14:00 bigJ4864

Write the equation for each line. (will give brainlest)

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Answer from: leahstubbs

y = $\frac{5}{2}$ x + 5

Step-by-step explanation:

The equation of a line is: y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope using the points (0, 5) and (-2, 0).

Slope = $\frac{5-0}{0-(-2)}$

= $\frac{5-0}{0+2}$

= $\frac{5}{2}$

Thus, the slope of the line is $\frac{5}{2}$ .

Based on the graph, the y-intercept is 5.

Thus, the equation of the line is: y = $\frac{5}{2}$ x + 5.

Answer from: evazquez

y = (5/2)(x + 2). This is equivalent to y = (5/2)x + 5

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 5). Going from the first to the second, we see x increasing by 2 and y increasing by 5. Thus, the slope of this line is m = rise / run = 5/2.

Find the equation of this line in point-slope form y - k = m(x - h) becomes

y - 0 = (5/2)(x + 2), or y = (5/2)(x + 2). This is equivalent to y = (5/2)x + 5.

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

You can find it by multiplying the areas it show u
Find the area of the rectangle guysss i need it rut now plz us

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Write the equation for each line. (will give brainlest)
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