Question

Write the equation of the line that passes through (–2, 6) and (2, 14) in slope-intercept form

Answer 1

there is an expression that you could memorize to do it
but , also you could do it
Put your points in a graphic and draw the line that passes through these points


m is your slope and is equal to \[m= tg(\theta)\]
\[m=\frac{ 8 }{4 }\]
then your equation has this form
\[y=mx+b\]
\[y=2x+b\]
to find your b(intercept) you have to replace of the points that the problem gives you
for example , solving this equation for (2,14)
\[14=2(2)+b\]
\[b=10\]

Answer 2

thank u so much