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ILL GIVE BRAINIEST
Write an equation of the line in​ point-slope form that passes through the given points in the table. Then write the equation in​ slope-intercept form.

An equation of the line in​ point-slope form is


ILL GIVE BRAINIEST Write An Equation Of The Line In Pointslope Form That Passes Through The Given Points In The Table Then Write The Equation In Slopeintercept class=

Sagot :

The equation in point-slope form is: y + 32 = 3/2(x - 2)

The equation in slope-intercept form is: y + 32 = 3/2(x - 2)

How to Write the Equation of a Line?

To write the equation of the line in point-slope form, we can find slope of the line using two points, say, (2, -32) and (4, -29):

Slope (m) = (-29 -(-32)) / (4 - 2) = 3/2

Slope (m) = 3/2

Substitute (a, b) = (2, -32) and m = 3/2 into y - b = m(x - a):

y - (-32) = 3/2(x - 2)

y + 32 = 3/2(x - 2) [point-slope form]

Rewrite in slope-intercept form

y + 32 = 3/2(x - 2)

y + 32 = 3/2x - 3

y = 3/2x - 3 - 32

y = 3/2x - 35

The equation in point-slope form is: y + 32 = 3/2(x - 2)

The equation in slope-intercept form is: y + 32 = 3/2(x - 2)

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