Question

What is the x-coordinate of the x-intercept of the line that passes through points (-5, 3) and (1, -3)?

Answer 1

First you need to form the equation of a line with those two points. Do you know how to form equation of a line?

Answer 2

@mo12us

Answer 3

no i'm lost can you walk me through it

Answer 4

@Mokeira

Answer 5

First step, find the slope
\[m=\frac{ \Delta y }{ \Delta x }\]
\[m=\frac{ 3--3 }{ -5-1 }\]
\[m=\frac{ 6 }{ -6 }\]
\[m=-1 \]
Now introduce an unknown point (x,y)
Then form equation of that line
\[-1=\frac{ y-3 }{ x--5 }\]
\[-1=\frac{ y-3 }{ x+5 }\]
Cross multiply
\[-1(x+5)=y-3\]
\[-x-5=y-3\]
\[y=-x-2\]
The x coordinate is therefore -1 and to find x intercept,y=0 now substitute

Answer 6

hope you understood

Answer 7

thanks, sorry for the delay

Answer 8

@Mokeira

Answer 9

its cool