Question

If the slope of a line and a point on the line are known, the equation of the line can be found using the slope-intercept form, y=mx+b. To do so, substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b. Using the above technique, find the equation of the line containing the points (-6,14) and (3,-1)​

Answer 1

The best way to find the equation of a line is by using point slope form. Y-y1=slope(X-x1)

14-(-)1/-6-3=15/-9=slope then plug in any given point

(Y-14)=15/-9(x-6)
Y=-15/9x-10+14
Y=-5/3x+4