Answer:
slope: 5
y-intercept: 0
Equation: [tex]y=5x[/tex]
Step-by-step explanation:
First, lets find the slope.
Every time we have an increase in [tex]x[/tex], we have an increase in [tex]y[/tex].
To find that change, we will divide the changes in [tex]y[/tex] using two points.
I will be using the points [tex](1,5), (2,10)[/tex]
[tex]\frac{10-5}{2-1}[/tex]
[tex]=5/1[/tex]
[tex]=5[/tex]
Therefore, the slope is 5.
Next, lets find the y-intercept. The y-intercept is where the line goes through the y-axis.
We can go back 1 x-value (since when x = 1, y = 5)
Subtracting our slope (5) from the y-value for 1, we get:
[tex]y=0[/tex]
Therefore, the y-intercept is 0.
Finally, lets find the equation.
Linear equations are in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
Plugging those values in we get: [tex]y=5x+0[/tex]
Which will be simplified down to [tex]y=5x[/tex]
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