finding the second pair when u know one and the slope

Question

A line passes through the point (6, 7)

 and has a slope of 4/3

.

Write an equation in slope-intercept form for this line.

Answer 1

slope = 4/3

through the point (6,7)

y-7 = (4/3)(x-6) is the equation of the line with slope=4/3 through the point (6,7)

y-k = m(x-h) is the general form of a linear equation in point slope form with slope=m and through the point (h,k)

in this example m=4/3, h=6 and k=7

in slope intercept form the equation is

y = (4/3)x -1

in standard form the equation is

4x -3y = 3

there is an infinite number of "2nd pairs" points (x,y) that lie on the same line, such as (0, -1) and (3/4, 0) the y and x intercepts

it might help to graph the line and plot the points