MATHEMATICS MIDDLE SCHOOL

1) What is the slope of the line that passes through the pair of points (2, -3) and (5, -4)2) Write an equation in point-slope form for the line through the given point with the given slope. (3, -4) Slope = 6

Answers

Answer 1

Answer:

QUESTION 1: (2, -3) and (5, -4)

Y2 -Y1

X2 -X1

-4 - -3

5 - 2

= - 1

QUESTION 2: (3, -4) Slope = 6

About Point Slope Form:

Y -Y1 = m (x - X1)
m is the slope
Y1 & X1 is a point on the line
The form allows you to identify the slope & the point on the line

Y - -4 = 6 (x - 3)

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If AB=x+4, BC=2x-10, and AC =2x+1, then find the value for x, AB, BC and AC

Answers

If A, B and C are collinear, then:

$AB+BC=AC\n\nAB=x+4,\ BC=2x-10,\ AC=2x+1$

substitute:

$(x+4)+(2x-10)=2x+1\n\n(x+2x)+(4-10)=2x+1\n\n3x-6=2x+1\ \ \ |+6\n\n3x=2x+7\ \ \ \ |-2x\n\nx=7\n\nAB=x+4\to AB=7+4=11\n\nBC=2x-10\to BC=2(7)-10=14-10=4\n\nAC=AB+BC\to AC=11+4=15$

Kate baked a rectangular cake for a party she used 42 inches of frosting around the edges of the cake if the cake was 9 inches wide how long was the cake

Answers

9 + 9 = 18
42 - 18 = 24
24 / 2 = 12
the length is 12 inches

Mrs.Savin receives a weekly base salary of $500,plus a commission of $1200 on each car that she sells. Write a function rule relating her total weekly pay p to cars she sells c.