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x-intercepts = where the graph hits the y axis first we find the equation of the line in 2 parts: the slope and the y intercept:

the slope: y2-y1/x2-x1

26-8/10-1= 18/9 = 2 is the slope now the y intercept:  y=mx + b

take either coordinates and plug it in with m being the slope

8=2(1) + b

8=2 + b subtract 2 on both sides

6=b

y = mx + b

y=2x + 6 is the line  the x intercept means where the x hitsy axis at the coordinates (x,0) so we substitute 0 for y and solve for x

0 = 2x + 6 subtract 6 from both sides

-6= 2x divide both sides by 2

-3 =x

the x intercept is : (-3,0)
by Level 6 User (15.3k points)

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