Question

Medals will be given!! Please help!!
If (x, 4) and (2, -1) are 2 points on a line and the slope is ½ , what is the value of x?

Answer 1

the is a formula that is given that defines how to find the slope of a line between 2 points

Answer 2

given 2 points (x,y) and (a,b) the slope between them can be calculated by:\[slope:\frac{y-b}{x-a}\]

Answer 3

since we know all the values except for x, this fills in as:

\[\frac12=\frac{4-(-1)}{x-2}\]

Answer 4

then what?

Answer 5

then you solve for x of course

Answer 6

\[\frac12=\frac{4-(-1)}{x-2}\]
\[\frac12=\frac{4+1}{x-2}\]
\[\frac12=\frac{5}{x-2}\]
cross multiply
\[x-2=5(2)\]

Answer 7

so x=12?

Answer 8

x=12 is fine yes