Mathematics, 02.01.2021 07:30 ejhoff4347

Can you please show the work on both of them?

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Answer from: alexisgonzales4752

Question 9)

From the line graph, taking two points

(-5, 4) (-6, 7)

Finding the slope between (-5, 4) and (-6, 7)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-5,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:7\right)$

$m=\frac{7-4}{-6-\left(-5\right)}$

m=-3

We know that the slope-intercept of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting (-5, 4) and m = -3 in the slope-intercept of the line

y = mx+b

4 = -3(-5)+b

4 = 15+b

b = 4-15

b = -11

substituting b = -10 and m = -3 in the slope-intercept of the line

y = mx+b

y = -3x+(-11)

y = -3x - 11

Thus, equation is slope-intercept form will be:

y = -3x - 11

Hence, option B is true.

Question 10)

From the line graph, taking two points

(4, 7) (-8, 1)

Finding the slope between (4, 7) and (-8, 1)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(4,\:7\right),\:\left(x_2,\:y_2\right)=\left(-8,\:1\right)$

$m=\frac{1-7}{-8-4}$

$m=\frac{1}{2}$

We know that the slope-intercept of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting (4, 7) and m = 1/2 in the slope-intercept of the line

y = mx+b

7 = 1/2(4)+b

7 = 2+b

b = 5

substituting b = 5 and m = 1/2 in the slope-intercept of the line

y = mx+b

y = 1/2x + 5

Thus, the equation is slope-intercept form will be:

y = 1/2x + 5

Hence, option C is true.

Answer from: Quest

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole

Answer from: Quest

pentagon

step-by-step explanation:

the coordinates a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

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