Question

$7x+2y=21$

(a) find the intercepts of the graph of equation

(b) graph the equation.

Short answer

Part (a) x-intercept: 3; y-intercept: 10.5

Part (b) Graph of the equation, $7x+2y=21$

Step-by-step solution

Part (a) Step 1. Given information

Equation of a line:$7x+2y=21$

Part (a) Step 2. Finding the x-intercept

To find the x-intercept, put $y=0$

$7x+2\left(0\right)=21$

$7x=21$

$x=\frac{21}{7}$

$x=3$

Part (a) Step 3. Finding y-intercept

To find the y-intercept, put $x=0$

$7\left(0\right)+2y=21$

$0+2y=21$

$2y=21$

$y=\frac{21}{2}$

$y=10.5$

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above: