Question

The x and y intercept

Answer 1

Answer:

Step-by-step explanation:

X-INTERCEPT

Plug y=0 into the equation and solve the resulting equation −6x=−7 for x.

The x-intercept:

$\left(\frac{7}{6},0\right)\approx \left(1.16666666666667,0\right)$

Y-INTERCEPT

Plug x=0 into the equation and solve the resulting equation 3y=−7 for y.

The y-intercept:

$\left(0, - \frac{7}{3}\right)\approx \left(0,-2.33333333333333\right)$

Answer 2

Answer:

$x$-intercept = ($-\frac{7}{6}$  , 0)

$y$-intercept = (0 , $-\frac{7}{3}$)

Step-by-step explanation:

$6x + 3y = -7$

• The x-intercept is the point at which the line crosses the x-axis, that is, where y = 0.

∴ $6x + 3(0) = -7$

⇒ $6x = -7$

⇒ $x = \bf -\frac{7}{6}$

∴ The x-intercept is at the point ($-\frac{7}{6}$ , 0).

• Similarly, the y-intercept is the point at which the line crosses the y-axis, that is, where x = 0.

∴ $6(0) + 3y = -7$

⇒ $3y = -7$

⇒ $y = \bf - \frac{7}{3}$

∴ The y-intercept is at the point (0 , $-\frac{7}{3}$).