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Find the equation of a line that has the points (3,4) and (-6,5) . Write the answer in slope intercept form

Sagot :

For any line passing through the points (x1,y1) and (x2,y2), its slope is given by:

a = (y2 - y1)/(x2 - x1)

And its intercept is given by:

b = y1 - ax1 = y2 - ax2

And the equation of this line, in the slope-intercept form, is y = ax + b

Then, for a line passing through the points (3,4) and (-6,5), we have:

a = (5 - 4)/(-6 - 3) = -1/9

Then, the intercept is:

b = 4 + 3/9 = 13/3

Therefore, the equation of the line is given by:

y = -x/9 + 13/3

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