using the given condition to write an equation for the line

using the given condition to write an equation for the line in point-slope form and in slope intercept form. (5,5) with intercept 1

Solution

point = ( 5,5 )

intercept = 1

slope intercept form of equation is given by

y = mx + b

where , m is the slope and b is the intercept

plugging the values in the equation

5 = m(5) + 1

solving for m

4 = 5m

m = 4/5

therefore, equation is

y = 4/5 x + 1

equation in point slope form is given by

y - y1 = m ( x- x1 )

plugging the values

y - 5 = 4/5 ( x - 5 )