Question

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Use the given conditions to write an equation for the line in​ point-slope form and​ slope-intercept...

Use the given conditions to write an equation for the line in​ point-slope form and​ slope-intercept form.

Passing through ​( −3​,−4​) and (2,6​)

What is the equation of the line in​ point-slope form?  

__

​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

What is the equation of the line in​ slope-intercept form?

__

​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

Solutions

Expert Solution

Answer: Equation of line in point-slope form is

and Equation of line in slope-intercept form is .

Explanation: The given points are and

The slope (m) of the the line passing through these two points is given by the formula,

Now, the equation of line with slope, m=2 and passing through point is .

Substituting the known values

-------------------------------------------- (1)

This is the equation of line in point-slope form.

(ii) In order to write the equation of line in slope-intercept form, using eqn 1

subtracting 4 from both sides

This is the equation of line in slope-intercept form where, slope=2 and intercept=2.

milcah answered 1 year ago
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