Question 170556
Find the equation, in slope-intercept form, of the line that passes through the points (5, 2) and (-7, 3). Write the equation in slope-intercept form.
:
Find the slope using the slope formula: m = {{{(y2 - y1)/(x2 - x1)}}}
Assign the values as follows:
x1 = 5; y1 = 2
x2 = -7; y2 = 3
:
m = {{{(3 - 2)/(-7 -5)}}} = {{{1/(-12)}}} = {{{-1/12}}}
:
Use the point slope formula: y - y1 = m(x - x1)
:
y - 2 = {{{-1/12}}}(x - 5)
:
y - 2 = {{{-1/12}}}x + {{{5/12}}}
:
y = {{{-1/12}}}x + {{{5/12}}} + 2
:
y = {{{-1/12}}}x + {{{5/12}}} + {{{24/12}}}
:
y = {{{-1/12}}}x + {{{29/12}}}; the slope/intercept form