How do you find the x and y-intercept given $y = 4 x - 7$ $y= 4x - 7$ ?

Question

How do you find the x and y-intercept given $y = 4 x - 7$ $y= 4x - 7$ ?

1 Answer

Impact of this question

4985 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-27T06:43:28

x-intercept = $\frac{7}{4}$ $7/4$
y-intercept = $- 7$ $-7$

Explanation:

There is a very standard way to solve such problems. Let us take an equation of a line in standard form: $y = m x + c$ $y = m x + c$ , where $m$ $m$ is the slope and $c$ $c$ is the y-intercept.

Firstly, get all the variables to the left-hand side (LHS) and the constant to the right-hand side (RHS). So, we get:
$- m x + y = c$ $-m x + y = c$

Now divide the whole equation by the constant on the RHS (note that this does not change the equation), and write it in the form below:
$- m \frac{x}{c} + \frac{y}{c} = 1$ $-m x/c + y/c = 1$ (Dividing by $c$ $c$ )
$\frac{x}{- \frac{c}{m}} + \frac{y}{c} = 1$ $x/(-c/m) + y/c = 1$ (Dividing by $c$ $c$ )

In this form, the term below $x$ $x$ (here: $- \frac{c}{m}$ $-c/m$ ) gives the x-intercept and the term below $y$ $y$ (here: $c$ $c$ ) gives the y-intercept.

Let us turn our attention to the question given. We have:
$y = 4 x - 7$ $y = 4x - 7$
$\Rightarrow 4 x - y = 7$ $=> 4x - y = 7$
$\Rightarrow \frac{x}{\frac{7}{4}} + \frac{y}{- 7} = 1$ $=> x / (7/4) + y / (-7) = 1$
Thus the x-intercept is $\frac{7}{4}$ $7/4$ and the y-intercept is $- 7$ $-7$ .

Science

Math

Humanities

... and beyond

How do you find the x and y-intercept given $y = 4 x - 7$ $y= 4x - 7$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you find the x and y-intercept given y= 4x - 7y=4x−7y= 4x - 7?

1 Answer

Explanation:

Related questions

Impact of this question

How do you find the x and y-intercept given $y = 4 x - 7$ $y= 4x - 7$ ?