Write the slope-intercept form of the equation parallel to y = 7x + 2, which passes through the point (1, -3).
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OpenStudy (phi):
parallel lines have equal slopes. What is the slope of y=7x+2 ?
OpenStudy (anonymous):
The slope is 7.
OpenStudy (anonymous):
Sorry for the late reply, hope u can still help.
OpenStudy (phi):
yes. m= 7
so you have (so far)
y = 7 x +b
now you need to find b. the easy way is plug in (x,y) pair that is on the line. Luckily they tell us (1,-3) is on the line.
OpenStudy (anonymous):
Yes, how do you find b? Do you plug -3 into y?
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OpenStudy (phi):
you use both x=1 and y= -3 in y=7x+b
then you solve for b.
OpenStudy (anonymous):
I got b = -10.
OpenStudy (phi):
-3= 1*7+b or
-3= 7+b
to get b by itself, subtract 7 from both sides (or add -7 to both sides)
b= -10
OpenStudy (phi):
so the equation is
y= 7x-10
OpenStudy (anonymous):
ohh okay! thank you so much @phi
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OpenStudy (phi):
Now try to remember all the details, and you can solve all of these type problems.