# How do you graph the equation y=4x-1?

Nov 1, 2017

Passes through $\left(\frac{1}{4} , 0\right) \mathmr{and} \left(0 , - 1\right)$

#### Explanation:

Basically, this is a straight line in the form $y = m x + b$

Our gradient m is 4 which is positive, so our straight line slopes to the right

You need to solve the equation to see where your line crosses the x and y axis.

• To find y is easy
Let $x = 0$
so $y = 4 \left(0\right) - 1$
Giving us $y = - 1$
So now we know our graph passes through $y = - 1$
• For x we use a similar process
Let $y = 0$
So we get $4 x - 1 = 0$
Hence, $x = \frac{1}{4}$

So now we know our graph passes through $x = \frac{1}{4}$ and $y = - 1$ and has a positive gradient. So we can draw it. graph{y=4x-1 [-5, 5, -2.5, 2.5]}