Question 661733
find the equation on a straight line that passes through the points (2,7) and (14,31)"
:
Assign the given pairs as follows:
x1 = 2; y1 = 7
x2 = 14; y2 = 31
:
Find the slope using the slope formula m = {{{(y2-y1)/(x2-x1)}}}
m = {{{(31-7)/(14-2)}}} = {{{24/12}}} = 2
:
Find the equation using the point/slope formula: y - y1 = m(x - x1)
y - 7 = 2(x - 2)
y - 7 = 2x - 4
y = 2x - 4 + 7
y = 2x + 3 is the equation for the given line
:
You can confirm this for yourself, replace x with 2, find y, should = 7
Do the same with the 2nd pair