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Write the slope-intercept form of the equation of the line through the given points: (-2,13) and (4,1)

Sagot :

Parrainidn

Answer: y = -2x + 9

Step-by-step explanation:

Points through which the line passes through are:  (-2,13) and (4,1)

The slop intercept form will be in terms of:

y = mx + c

Find m first which is the slope:

= (Y₂ - Y₁) / (X₂ - X₁)

= (1 - 13) / (4 - (-2))

= -12 / 6

= -2

Using a point on the line and the slope, calculate c which is the y intercept:

Using point  (-2,13) :

y = mx + c

13 = -2 * -2 + c

13 = 4 + c

c = 13 - 4

c = 9

Slope intercept form of line is therefore:

y = -2x + 9

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