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Elden [556K]
4 years ago
13

Find the equation of the line using the slope fomula (-3,4) and (2,5)

Mathematics
1 answer:
Tasya [4]4 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (2, 5)

m = \frac{5-4}{2+3} = \frac{1}{5}, hence

y = \frac{1}{5} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 5), then

5 = \frac{2}{5} + c ⇒ c = 5 - \frac{2}{5} = \frac{23}{5}

y = \frac{1}{5} x + \frac{23}{5} ← equation of line



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