The figure below models the equation 4+2w=2y+4.
2 answers:
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Answer:
(1,0)
Step-by-step explanation:
Hi there!
We want to find the x intercept of the line that passes through the point (3,4) and has a slope of 2
First, let's find the line
We are given both a slope, and a point. We can write the equation of the line in point-slope form, which is , where m is the slope and
is a point
We do have everything needed to write the equation, let's just label everything to avoid confusion:
m=2
=4
Now substitute those values as the variables that they represent into the equation:
y-4=2(x-3)
Now we have the equation in slope-point form
The x intercept of the line is the value in which the line passes through the x axis. The value of y at this point is 0
So we can substitute y as 0 in the equation to find out the value of x:
y-4=2(x-3)
0-4=2(x-3)
Multiply
0-4=2x-6
Add 6 to both sides
0+2=2x
Simplify the left
2=2x
Divide both sides by 2
1=x
So the value of the x intercept is 1, also written as the point (1,0)
Hope this helps!