Answer/Step-by-step explanation:
Given:
Line equation => [tex] 2.1x + 9.9y - 9.2 = 0 [/tex]
Required:
x-intercept and y-intercept of the line.
SOLUTION:
The x-intercept is the point where the line intercepts the x-axis. To find the x-intercept of the line for which the equation is given above, set y = 0 and solve for x.
[tex] 2.1x + 9.9(0) - 9.2 = 0 [/tex]
[tex] 2.1x + 0 - 9.2 = 0 [/tex]
[tex] 2.1x - 9.2 = 0 [/tex]
[tex] 2.1x - 9.2 + 9.2 = 0 + 9.2 [/tex]
[tex] 2.1x = 9.2 [/tex]
[tex] \frac{2.1x}{2.1} = \frac{9.2}{2.1} [/tex]
[tex] x = 4.4 [/tex] (approximated)
The y-intercept is the point where the line intercepts the y-axis. At this point, x = 0. Set x = 0 and solve for y to find the y intercept.
[tex] 2.1(0) + 9.9y - 9.2 = 0 [/tex]
[tex] 9.9y - 9.2 = 0 [/tex]
[tex] 9.9y - 9.2 + 9.2 = 0 + 9.2 [/tex]
[tex] 9.9y = 9.2 [/tex]
[tex] y = \frac{9.2}{9.9} [/tex]
[tex] y = 0.9 [/tex] (approximated)
