Find an equation for the line that passes through the points (4,3) and (-6,5)

y = -1/5x + 19/5  or

x + 5y = 19.

Step-by-step explanation:

The slope of the line (m) = (5-3) / (-6-4)

= -1/5.

Using the point-slope form of the equation of a line:

y - y1 = m(x - x1)     m = -1/5. x1 = 4 and y1 = 3 , so:

y - 3 = -1/5(x - 4)

y - 3 = -1/5x + 4/5

y = -1/5x + 19/5   which is the equation in slope-intercept form.

Converting  to standard form  ( multiplying by 5):

5y = -x + 19

x + 5y = 19.

step-by-step explanation: