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Phantasy [73]
4 years ago
9

Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form

Mathematics
2 answers:
BigorU [14]4 years ago
8 0
Slope = (10 -5)/(2+3) = 5/5=1

y = mx + b
5 = 1(-3) + b
b =8

so equation y = x +8

answer: <span>y = x + 8(first choice)</span>
andreev551 [17]4 years ago
8 0

Answer:

The slope-intercept form is y=x+8

Step-by-step explanation:

Given points are (-3, 5) and (2,10). Now, we have to find the equation of the line that passes through these points in slope-intercept form.

Equation of line passing through the point (x', y') can be written as

y-y'=m(x-x')  where m is \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Hence, the equation can be written as (y-5)=\frac{10-5}{2-(-3)}(x-(-3))

⇒ y-5=\frac{5}{5}(x+3)

⇒ y=x+3+5

⇒y=x+8

which is slope-intercept form where slope is 1 and intercept is 8 by comparing with y=mx+c


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