# How do you find the x and y-intercept given y=-2x+5?

Jul 11, 2015

$\left(0 , 5\right) , \left(\frac{5}{2} , 0\right)$

#### Explanation:

$x = 0 \setminus R i g h t a r r o w y = - 2 \cdot 0 + 5$

$y = 0 \setminus R i g h t a r r o w 0 = - 2 x + 5 \setminus R i g h t a r r o w \frac{0 - 5}{- 2} = x$

Jul 11, 2015

(a). 5

(b). 5/2

#### Explanation:

$y = - 2 x + 5$

A straight line graph is of the form:

$y = m x + c$

$m$ = the gradient

$c$ = the intercept which cuts the y axis

You can get this by setting $x$ = 0

So $y = - 2 \times 0 + 5 = 5$

So $c = 5$ which is the $y$ intercept.

We can get the $x$ intercept by setting $y = 0$:

$0 = - 2 x + 5$

$2 x = 5$

$x = \frac{5}{2}$