Answer:
So, equation in slope-intercept form that represents the line that passes through the points (1,3) and (2,5) is y=2x+1
Step-by-step explanation:
We need to write equation in slope intercept form that represents the line that passes through the points (1,3) and (2,5)
The standard equation of slope-intercept form is: y= mx+b
where m is the slope of the lines and b is the y-intercept.
To make the equation we need to find slope (m) and y-intercept (b)
Find Slope
The formula to find slope m is:
We have
Putting values in the formula to find slope
So, value of slope m is m=2
Find y-intercept
Using formula of slope-intercept formula we can find b
y=mx+b
Using point (1,3) (where x=1 ,y=3) and slope m=2
So, value of y-intercept b is: b=1
Required equation in Slope Intercept Form
We have slope m = 2 and y-intercept b=1
So, equation in slope-intercept form that represents the line that passes through the points (1,3) and (2,5) is y=2x+1
