Write the equation of the line that passes through (3, 6) and (0, –3) in slope-intercept form. y = 3x – 6 y = 3x – 3 y = 3x + 3 y = 3x + 6
@jim_thompson5910 can you help
use the slope formula (y2-y1)/x2-x1) -3-6/0-3=-9/-3 which would give the slope equa to 3
another way is to plug each point into each equation
if both points satisfy the equation, then you found your answer
wait @jim_thompson5910 can you show me what i have to plug in for the equation
if you look at choice A) y = 3x – 6
and plug in (3,6) you get this
alright i will do that now
y = 3x – 6 6 = 3(3) – 6 ... plug in x = 3 and y = 6 6 = 9 - 6 6 = 3 since that equation is false, this means that (3,6) is NOT on the line y = 3x – 6
what about 0,-6 what happened to that?
0,-6 ?
-3*
well if the first point does NOT work for y = 3x – 6, then what does it matter if the second point works or not
BOTH points need to work
for choice B is works out
so if one doesn't work, then you can eliminate that answer choice
yep it's choice B
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