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Answer:
The equation of the line is y = x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵
→ Simplify it by dividing up and down by 2
∴ m =
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = x + 2
∴ The equation of the line is y = x + 2
Answer:
Natalie have left with 5 beads.
Step-by-step explanation:
Given:
Natalie had 64 beads. She used 24 beads to make a bracelet. She used 7/8 of the remaining beads to make a necklace.
Now, to find the beads does Natalie have left.
<em>Total beads Natalie had = 64 beads.</em>
<em>And beads she used to make a bracelet = 24 beads</em>.
So, the remaining beads are =
Now,<em> the beads she used to make a necklace</em> =
=
=
=
Hence, the beads Natalie have left = remaining beads - beads used to make necklace.
Therefore, Natalie have left with 5 beads.