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What is the slope-intercept form of the line passing through # (5, 4) # and # (3, -2) #?

Answer 1

Eli Assouline

y = 3x - 11

A straight line has the slope-intercept form y = mx + c, where m is the gradient (slope) and c is the y-intercept.

To find m , use the #color(blue)" gradient formula "#

# m = (y_2 - y_1)/(x_2 - x_1) #

where# (x_1 , y_1 ) " and " (x_2 , y_2 ) " are 2 coord points "#

let #(x_1,y_1) = (5,4) " and " (x_2,y_2) = (3,-2)#

hence : # m = (-2 - 4)/(3 - 5 ) = (-6)/(-2) = 3 #

The equation is y = 3x + c. To find c, use one of the line's provided points, such as (5, 4).

For example, 4 = 3(5) + c → c = 4 - 15 = -11

#rArr y = 3x - 11 " is the slope-intercept form "#

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Answer 2

Eva Adamson

The slope-intercept form of the line passing through the points (5, 4) and (3, -2) is y = -3x + 19.

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Answer from HIX Tutor

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