Question

Find the equation for intercept x 4 and y -7​

Answer 1

Answer:

y = $\frac{-7x}{4} - 14$

Step-by-step explanation:

The equation used to find the equation for a line with two intercepts is called point slope form. $y - y_{1} = m(x - x_{1})$ , where $y_{1}$ and $x_{1}$ are the intercept points and m is the slope.

However, we need the slope to use this formula.

Use $m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}$

m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}

$m = \frac{((0) - (7))}{((4) - (0))}$

$m = \frac{-7}{4}$

$y - y_{1} = m(x - x_{1})$

y - ( -7 ) = m ( x - ( 4 ) )

y - ( -7 ) = -7/4 ( x - ( 4 ) )

y + 7 = -7/4 ( x + 4 )

y + 7 = $\frac{-7(x+4)}{4}$

y + 7 = $\frac{-7x-28}{4}$

y + 7 = $\frac{-7x}{4} - 7$

y + 7 = $\frac{-7x}{4} - 7$ - 7

y = $\frac{-7x}{4} - 14$