# How do you graph 5x + y = 4  by plotting points?

See explanation below

#### Explanation:

The given equation of straight line:

$5 x + y = 4$

The above line intersects the x-axis where $y = 0$ hence

$5 x + 0 = 4$

$x = \frac{4}{5}$

hence the point of intersection of line with the x-axis is $\left(\frac{4}{5} , 0\right)$

Similarly, the above line intersects the y-axis where $x = 0$ hence

$5 \left(0\right) + y = 4$

$y = 4$

hence the point of intersection of line with the x-axis is $\left(0 , 4\right)$

Now, specify both the intersection points $\left(\frac{4}{5} , 0\right)$ & $\left(0 , 4\right)$ on x & y axes then join them by a straight line to get desired graph