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To sketch the graph of ( g(x) = -4x + 8 ), we can follow these steps:
- Determine the y-intercept: The y-intercept is the point where the graph intersects the y-axis. For the equation ( g(x) = -4x + 8 ), the y-intercept occurs when ( x = 0 ). Substitute ( x = 0 ) into the equation to find the y-intercept:
[ g(0) = -4(0) + 8 = 8 ]
So, the y-intercept is ( (0, 8) ).
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Determine the slope: The coefficient of ( x ) in the equation represents the slope of the line. For ( g(x) = -4x + 8 ), the slope is ( -4 ).
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Use the slope and the y-intercept to plot a second point: Since the slope is ( -4 ), it means that for every unit increase in ( x ), ( y ) decreases by 4 units. Starting from the y-intercept ( (0, 8) ), we can move down 4 units (due to the negative slope) and one unit to the right to find another point. This gives us the point ( (1, 4) ).
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Plot the points and draw the line: Plot the points ( (0, 8) ) and ( (1, 4) ) on the coordinate plane, then draw a straight line passing through these points. This line represents the graph of ( g(x) = -4x + 8 ).
Here's the sketch of the graph:
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How do you graph 3y - 4x equals 24?
3y - 4x = 24 The first step is to write it in the standard form (y=mx + c) 3y = 4x + 24 y = (4x + 24)/3 y = 4x/3 + 8 The y-intercept is 8 and the slope/gradient is 4/3
What is the graph 4x-2y equals 8?
It is a straight line which goes through the points (2,0) and (0, -4)
Find the value of x: 2(4x + 4) = (4x - 12)?
2(4x + 4) = (4x - 12) 8x + 8 = 4x - 12 8x - 4x + 8 = 4x - 4x - 12 4x + 8 = -12 4x + 8 - 8 = -12 - 8 4x = -20 4x/4 = -20/4 x = -5
What is 4x 8?
4x -8 = -4
What is 8 plus y equals 4x in standard form?
8 + y = 4x8 + y - 4x = 4x - 4x 8 + y - 4x = 0 8 - 4x + y = 0
How do you solve -4x plus 8 equals -4?
-4x + 8 = -4 -4x + 8 - 8 = -4 -8 -4x = -12 -4x/-4 = -12/-4 x = 3
What is the solution of 4x-3-8 equals 8?
4x-3-8 = 8 4x = 8+8+3 4x = 19 x = 4 and 3/4
What is 8(4x- 12) =?
8-3x-x = 12 8-4x = 12 -4x = 12-8 -4x = 4 x = -1
Which equation has the same graph as 4x plus 8y equals 12?
There is no equation on the list you're showing that has the same graph as [ 4x + 8y = 12 ].
Which is easier to graph 3x plus 4y equals 8 or y equals -0.75x plus 2?
Here they are in there slope intercept forms. y = -3/4x + 2 [3x+4y=8] y = -3/4x + 2 [y=-0.75x+2] Well look at that they are the same. How do you like that. So they much be equal easy to graph.
What is parenthesis 4x minus 8 parenthesis to the second power?
(4x-8)2 = (4x-8)(4x-8) = 16x2-32x-32x+64 = 16x2-64x+64
How do you graph the equation x-4y equals 8?
x-4y=8 can be writeen as-4y=-x+8ory=1/4x-2This is the slope intercept form of the line. It tells us the graph has slope of 1/4 and y intercept of -2You could graph the point (0,-2) and then go up 1 and over to the right 4.Or you could note that if y=01/4x=2and x=8so the point (8,0) is on the line ( it is the x intercept).Graph (8,0) and (0,-2) and connect the dots.
