Question 153012This question is from textbook Algebra structure and method book 1
: can you please help me: (((write an equation for the line with the slope 3 going through the point (1,-2))))
This question is from textbook Algebra structure and method book 1
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! can you please help me: (((write an equation for the line with the slope 3 going through the point (1,-2))))
.
For the "slope-intercept" form of a line:
y = mx + b
where
m is slope
b is the y-intercept at (0, b)
.
Your problem gives you the slope (m) as 3, the only thing you're missing is the y-intercept (b).
Your problem also gives you a single point (1, -2) on the line -- we can use this to find 'b'.
.
To find 'b', plug the given m (slope) and the given point into:
y = mx + b
Plugging in our slope of 3:
y = 3x + b
Plugging in our single point of (1, -2):
-2 = 3(1) + b
Now, we can solve for 'b':
-2 = 3 + b
-5 = b
.
Finally, now that we know:
m = 3
b = -5
plug the above into:
y = mx + b
y = 3x + (-5)
y = 3x - 5 (that's it, you're done!)
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