Write an equation of the line in point-slope form that passes through the given points. (4,4) and (5,7)
Please explain 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)   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 )

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