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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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