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ss7ja [257]
3 years ago
5

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an

d Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Mathematics
2 answers:
masha68 [24]3 years ago
6 0

<span>Helena is correct in saying that the point-slope form will generate the equation. The point-slope form is written as:</span>

<span>
</span>

y-y₁ = m(x-x₁), where,

m = (y₂-y₁)/(x₂-x₁) is the slope of the line

(x₁,y₁) and (x₂,y₂) are the coordinates of the two points


On the other hand, the slope-intercept form is written as:


y = mx + b, where,

m is the slope of the line

b is the y-intercept


In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation. 

Andru [333]3 years ago
5 0

Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.

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Answer:

A. p = q

Step-by-step explanation:

For each triangle, add the angles together and then subtract the sum from 180°.

First triangle:

60° + 50° = 110°

180° - 110° = 70°

Missing angle = 70°

Second triangle:

80° + 30° = 110°

180° - 110° = 70°

Missing angle = 70°

Hope this helps :)

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Solve the inequality.
marysya [2.9K]

Answer:

\huge x >  \frac{7}{3}  \\

Step-by-step explanation:

8( \frac{1}{2} x -  \frac{1}{4} ) > 12 - 2x \\

<u>Expand the terms in the bracket</u>

That's

8( \frac{1}{2} x) - 8( \frac{1}{4} ) > 12 - 2x \\ 4x - 2 > 12 - 2x

Move -2x to the other side of the inequality

4x + 2x - 2 > 12 \\ 6x - 2  > 12

<u>Move - 2 to the other side of the inequality</u>

6x > 12 + 2 \\ 6x > 14

Divide both sides by 6

\frac{6x}{6}  >  \frac{14}{6}  \\

We have the final answer as

x >  \frac{7}{3}  \\

Hope this helps you

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