Answer:
so, the equation of the line shown is y=2x-1
if the equation you are trying to write has a y-intercept of 4, the equation would be y=2x+4
Hope that helps ya!
2 (3x - 7) = -4x - 6 + 9x - 8 Simplify 2 (3x - 7)
6x - 14 = -4x - 6 +9x - 8 Combine like terms (-4x and 9x) (-6 and -8)
6x - 14 = 5x - 14 Subtract 5x from both sides
x - 14 = -14 Add 14 to both sides
x = 0
Check your answer.
2 (3x - 7) = -4x - 6 + 9x - 8 Substitute x for 0
2 (3(0) - 7) = -4(0) - 6 + 9(0) - 8 Multiply 3(0)
2 (0 - 7) = -4(0) - 6 + 9(0) - 8 Multiply -4(0)
2 (0 - 7) = 0 - 6 + 9(0) - 8 Multiply 9(0)
2 (0 - 7) = 0 - 6 + 0 - 8 Subtract (0 - 7)
2(-7) = 0 - 6 + 0 - 8 Multiply 2(-7)
-14 = 0 - 6 + 0 - 8 Get rid of the unneccesary 0s
-14 = -6 - 8 Subtract (-6 - 8)
-14 = -14
So, x = 0 .
the graphed equation is:
y = -|x| + 1
<h3>
</h3><h3>
How to find the algebraic expression that matches the graph?</h3>
On the graph, we can see an absolute value equation, which opens downwards, and passes through the points (1, 0) and (0,1).
The general absolute value equation is:
y = a*|x - b| + c
Because the vertex is at the point (0, 1), we know that:
b = 0, c = 1
Replacing that we get:
y = a*|x| + 1
Now, this must be zero when we evaluate in x = 1, then:
0 = a*|1| + 1
a = -1
Then the graphed equation is:
y = -|x| + 1
If you want to learn more about absolute value functions:
brainly.com/question/3381225
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Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where m is the slope and b is the y-intercept (the value of y when x is 0)
<u>1) Determine the slope (m)</u>
Plug in the two given points (0,-5) and (5,1)
Therefore, the slope of the line is 
. Plug this into :
<u>2) Determine the y-intercept (b)</u>
On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:
I hope this helps!
