Answer:
y = 2x + 1
Step-by-step explanation:
Use slope-intercept form ( y = mx + b ) where m is the slope ( rise over run ) and the y-intercept is 1 because where x = 0, y =1. You can either use rise over run to solve the slope or plug in an x and y value on the line and solve algebriacally.
Rise Over Run:
Take two values on the line, for example, (0,1) and (1,3) y is the rise and x is the run, so write each one with y over x in fraction form.
(0,1) = [tex]\frac{1}{0}[/tex] (1,3) = [tex]\frac{3}{1}[/tex] then subtract the second value from the first
[tex]\frac{3}{1}[/tex] - [tex]\frac{1}{0}[/tex] = [tex]\frac{2}{1}[/tex] which simplifies to 2. So the slope is 2.
Algebra:
plug a coordinate on the line into the equation y =mx + 1. For example (1,3)
3 = m(1) + 1 anything multiplied by 1 is itself so we can cancel out the 1 in the equation
3 = m + 1 subtract 1 from both sides
-1 -1
2 = m each method shows the slope is 2 so now we can put it together into the answer, y = 2x + 1
The equation of the line shown in table is y=2x+1.
Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
We have been given a line and we have to form equation of that line. First of all we have to take two points and then we will be able to form that equation.
We have taken (0,1),(1,3). The equation is formed under:
y-1=(3-1)/(1-0)*(x-0)
y-1=2x
y=2x+1
Hence the equation of the line is y=2x+1.
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