Question

Help please I would appreciate it !

Answer 1

Answer/Step-by-step explanation:

Given:

Line equation => $2.1x + 9.9y - 9.2 = 0$

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.

$2.1x + 9.9(0) - 9.2 = 0$

$2.1x + 0 - 9.2 = 0$

$2.1x - 9.2 = 0$

$2.1x - 9.2 + 9.2 = 0 + 9.2$

$2.1x = 9.2$

$\frac{2.1x}{2.1} = \frac{9.2}{2.1}$

$x = 4.4$ (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.

$2.1(0) + 9.9y - 9.2 = 0$

$9.9y - 9.2 = 0$

$9.9y - 9.2 + 9.2 = 0 + 9.2$

$9.9y = 9.2$

$y = \frac{9.2}{9.9}$

$y = 0.9$ (approximated)