Find the equation for a line with a slope of 1/2 and that passes through the point (1,-3).Graph the line

Question

find the equation and graphing 

Answer 1

 

Given the slope and a point on the line, we can use the point-slope formula for the equation of a line.

 

   y - y₁ = m(x - x₁)

   y - -3 = (1/2)(x - 1)

   y + 3 = (1/2)x - 1/2

         y =  (1/2)x - 1/2 - 3

         y = (1/2)x -1/2 - 6/2

         y = (1/2)x - 7/2

 

Thie equation is in slope-intercept form (y = mx + b)

 

 

The y-intercept is -7/2, 0r -3.5  .... ((0, -3.5) is one point on the line.

 It is given that (1, -3) is also on the line.  So to graph, plot those

2 points and connect them with a line.