We must find the x- and y-incerpt of the line given by the following equation:
[tex]y=0.005x-0.15.[/tex]
a) The x-intercept is an (x,y) point with y = 0, we must find the value of x equalling the equation of the line to zero, doing that and solving for x, we get:
[tex]\begin{gathered} 0=0.005x-0.15, \\ 0.005x=0.15, \\ x=\frac{0.15}{0.005}=30. \end{gathered}[/tex]
So the x-intercept is (30,0).
The y-intercept is an (x,y) point with x = 0, we find the value of y replacing x = 0 in the equation of the line, we get:
[tex]y=0.005\cdot0-0.15=-0.15.[/tex]
So the y-intercept is (0,-0.15).
b) To graph the line of the equation, we mark the coordinates of the x- and y-intercept points, and then we draw a line connecting the points:
