Answer: y-4 = 3(x - 5)
Step-by-step explanation:
The basic form for a point-slope equation is
y - b = m(x - a)
a is the x-value from the given coordinate, b is the y-value form the given coordinate, m is the slope. x and y are the variables in the function.
To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."
Given coordinate points: (4,4) and (5,7) [tex]m=\frac{y-y_{1} } {x-x_{1 }}[/tex] substitute values:
m= 7-4/5-4 becomes m= 3/1 so the slope m = 3
To write the equation: Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.
y - b = m(x - a) Using the second coordinate: (5,7)
y - 7 = 3(x - 5)
The attachment shows the graph of this equation.
(The equivalent slope-intercept form for this is y = 3x - 8 )
