Question

Write in slope-intercept form an equation of the line that passes through the given points. (−2, 3), (2, 7)

Answer 1

SOLUTION

TO DETERMINE

The slope-intercept form an equation of the line that passes through the given points

(−2, 3), (2, 7)

EVALUATION

Here the given two points are (−2, 3), (2, 7)

Now the equation of the line passing through the points (−2, 3), (2, 7) is

$\displaystyle \sf{ \frac{y - 7}{x - 2} = \frac{7 - 3}{2 + 2} }$

$\displaystyle \sf{ \implies \: \frac{y - 7}{x - 2} = \frac{4}{4} }$

$\displaystyle \sf{ \implies \: \frac{y - 7}{x - 2} =1 }$

$\displaystyle \sf{ \implies \: y - 7 = x - 2}$

$\displaystyle \sf{ \implies \: y = x - 2 + 7}$

$\displaystyle \sf{ \implies \: y = x + 5}$

Which is of the slope - intercept form

Where slope of the line is 1 and y-intercept = 5

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