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Sagot :
Answer:
See attached graph
Step-by-step explanation:
The equation that has a slope of 10 and intersects (0,0) is:
y = 10x
The slope-intercept form of a straight line equation is y=mx+b, where m is the slope and b the y-intercept (the value of y when x = 0).
In this case:
m = 10
b is 0 since the value of y when x = 0 is 0 (0,0).
See attached graph.
[tex]\huge\fbox{Hi\:there!}[/tex]
We are given the slope of the line and a point that it passes through, so we can use the Point-Slope formula:
[tex]\rm{y-y1=m(x-x1)[/tex]
Where
y1 is the y-coordinate of the point, m is the slope and x1 is the x-coordinate.
In this case:
y1=0
m=10
x1=0
Plug in the values:
[tex]\bf{y-0=10(x-0)[/tex]
Solve:
[tex]\bf{y-0=10x[/tex]
[tex]\bf{y=10x}[/tex]
Now, how to graph the line?
Let's look at its equation.
First of all, it has a y-intercept of 0, which means the line touches the y-axis at (0,0)
Now, what about the slope? The slope is 10.
Thus
We move "up 10, over 1, up 10, over 1" and so on, until we have a line.
Then all we have to do is take a ruler and connect the points.
Hope it helps!
~Just a determined gal
#HaveAGreatDay
[tex]\bf{-MistySparkles^**^*[/tex]
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