Easy
Draw the graph of each of the equations given below. Also,find the coordinates of the points where the graph intersects the coordinate axes:
$1. 3x + 5y = 15$
$2. 5x - 2y = 10$
$3. 4x + 3y = -12$
$4. 3x - 7y = 21$
$5. x - y = 0$
$6. 2x - 3y = 0$
$7. x - y = -5$
$8. 5x - 3y = 15$
$1. 3x + 5y = 15$
$2. 5x - 2y = 10$
$3. 4x + 3y = -12$
$4. 3x - 7y = 21$
$5. x - y = 0$
$6. 2x - 3y = 0$
$7. x - y = -5$
$8. 5x - 3y = 15$
(A) To find the intersection points with the coordinate axes:
- For the $x$-axis,set $y = 0$ and solve for $x$.
- For the $y$-axis,set $x = 0$ and solve for $y$.
- For the $x$-axis,set $y = 0$ and solve for $x$.
- For the $y$-axis,set $x = 0$ and solve for $y$.
| Equation | Intersection at $x$-axis $(y=0)$ | Intersection at $y$-axis $(x=0)$ |
|---|---|---|
| $1. 3x + 5y = 15$ | $(5, 0)$ | $(0, 3)$ |
| $2. 5x - 2y = 10$ | $(2, 0)$ | $(0, -5)$ |
| $3. 4x + 3y = -12$ | $(-3, 0)$ | $(0, -4)$ |
| $4. 3x - 7y = 21$ | $(7, 0)$ | $(0, -3)$ |
| $5. x - y = 0$ | $(0, 0)$ | $(0, 0)$ |
| $6. 2x - 3y = 0$ | $(0, 0)$ | $(0, 0)$ |
| $7. x - y = -5$ | $(-5, 0)$ | $(0, 5)$ |
| $8. 5x - 3y = 15$ | $(3, 0)$ | $(0, -5)$ |
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