I need help with the following things:
Write the equation of the line that passes through (2, 2) and (6, 3) in standard form.
Write the equation of the line that passes through (3, 6) and (0, –3) in slope-intercept form
Write the equation of the line that passes through (2, 5) with a slope of 3 in point-slope form.
Write the equation of the line that passes through (–1, 5) with a slope of 2 in standard form
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since you have 2 points, determine the slope, which is m
once you have m, substitute a point and m into the same equation
and then do whatever is required in order to get the form
for point intercept form
once you have m
substitute a point and m into the equation, then solve for b
then rewrite it only substituting m and b
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Can you show me one?
alright then, lets start with the first problem
we have the points (2 ,2) & (6,3)
so we substitute those into the the point slope form given
and find m
3-2 = m(6-2)
1 = m *4
once we have m
we substitute this back into the equation with one of the two points
so y-2= (1/4) (x-2),
at this point, you multiply, distribute and do whatever you need to do to this system in order to make it look like
or if you need it in point intercept form
once you have m, substitute a point and m into the point intercept equation and solve for b
remember that x intercept is always (x,0)
and y- intecept is always (0,y)