Answer: y = -x + 7
Step-by-step explanation:
The slope is , so we know the equation is of the form
.
Substituting in the coordinates (1,6) to find b,
Thus, the equation is y = -x + 7
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1 answer:
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Remember that the general equation of a line is 
, where:
is the slope, and 
is the y-intercept; so to find the y-intercept, solve for 
and identify .
Now, to find the x-intercept, just replace in your line equation with 
, and solve for 
Lets apply those procedures to our two questions:
1. - y-intercept:
Notice that now we have our line equation in the form with 
and 
; sine is the y-intercept, we can conclude that the y-intercept of our equation is 8.
x-intercept:
First, lets replace with :
And then, we can solve for to find our x-intercept:
We can conclude that our x-intercept is -4; thus the correct answer in your list is the fourth one: x-intercept is -4; y-intercept is 8.
2. y-intercept:
We can conclude that our y-intercept is 20.
x-intercept:
We can conclude that our x-intercept is 16; thus the correct answer in your list is, once again, the fourth one: x-intercept is 16; y-intercept is 20.
Now, to find the x-intercept, just replace
Lets apply those procedures to our two questions:
1. - y-intercept:
Notice that now we have our line equation in the form
x-intercept:
First, lets replace
And then, we can solve for
We can conclude that our x-intercept is -4; thus the correct answer in your list is the fourth one: x-intercept is -4; y-intercept is 8.
2. y-intercept:
We can conclude that our y-intercept is 20.
x-intercept:
We can conclude that our x-intercept is 16; thus the correct answer in your list is, once again, the fourth one: x-intercept is 16; y-intercept is 20.
