To generate a point, you plug in a number for x to get the corresponding y value.
If x = 0 for instance, then the y value is...
y = x^2 - 4
y = 0^2 - 4 ... x is replaced with 0
y = 0 - 4
y = -4
So x = 0 and y = -4 pair up to get the point (0,-4). This is the y intercept as the parabola crosses the y axis here. It turns out that this is also the vertex point as it is the lowest point on the parabola.
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If x = 1, then,
y = x^2 - 4
y = 1^2 - 4
y = 1 - 4
y = -3
meaning (x,y) = (1,-3) is another point on this line.
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Repeat for x = 2
y = x^2 - 4
y = 2^2 - 4
y = 4-4
y = 0
Since we got a y output of 0, we have found an x intercept located at (2,0). The other x intercept is (-2,0).
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The idea is to generate as many points as possible. Plot all of the points on the same xy coordinate grid. Then draw a curve through those points the best you can. You should get what you see in the diagram below. I used GeoGebra to make the graph. Desmos is another handy tool I recommend.
Note: the more points you generate, the more accurate the graph will be
9 (x +2) < 3(3-5)
Step-by-step explanation:
9x+18 < 9-15
1)9-15= -6
9x+18 < -6
9x+18= -5
9x= (-5) - 18
9x= -23
x= 23/9=2 5/9
X=2,55556
Answer:
y= -x+6
Step-by-step explanation:
The equation format for slope-intercept form is y=mx+c, where m is the slope of the line and c is the y-intercept.
To find the slope, we need to pick two definite points and find the slope from that. The formula to find the slope is 'rise/run'. Rise is the difference between the y-values of the two points, and the run is the difference between the x-values of the two points.
Let's use the points (0,6) and (1,5).
The rise is -1 (5-6=-1) and the run is also 1 (1-0=1). This means that the slope is -1 (-1/1=-1). The slope is negative because the line is 'going downwards'.
So our equation so far is:
y=-x+c
The y-intercept is where the line crosses the y-axis and the x-value is 0. We can see from the graph that the line crosses the y-axis at the point (0,6), therefore the y-intercept is 6.
So our final equation for the line is y= -x+6.
Hope this helped!
The the equation of the line is y= -x+6.
We have to make use the points (0,6) and (1,5).
We have a rise of -1 (5-6=-1)
We also have a run of 1 (1-0=1).
Now we have to find the slope
This is solved as the slope is -1 (-1/1=-1).
The slope is negative Given that we have a line that goes downwards
The y-intercept is where the line crosses the y-axis and the x-value is 0. We can see from the graph that the line crosses the y-axis at the point (0,6), therefore the y-intercept is 6.
Therefore the equation is y= -x+6.
Read more on equation of the line here brainly.com/question/18831322
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Step-by-step explanation:
2524 ÷ 23 = 24a6u= 7
bengek hyung
{–3, –2}
{3, –2}
{–3, 2}
{3, 2}