Answer:
y = [tex]\frac{-7x}{4} - 14[/tex]
Step-by-step explanation:
The equation used to find the equation for a line with two intercepts is called point slope form. [tex]y - y_{1} = m(x - x_{1})[/tex] , where [tex]y_{1}[/tex] and [tex]x_{1}[/tex] are the intercept points and m is the slope.
However, we need the slope to use this formula.
Use [tex]m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}[/tex]
m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}
[tex]m = \frac{((0) - (7))}{((4) - (0))}[/tex]
[tex]m = \frac{-7}{4}[/tex]
[tex]y - y_{1} = m(x - x_{1})[/tex]
y - ( -7 ) = m ( x - ( 4 ) )
y - ( -7 ) = -7/4 ( x - ( 4 ) )
y + 7 = -7/4 ( x + 4 )
y + 7 = [tex]\frac{-7(x+4)}{4}[/tex]
y + 7 = [tex]\frac{-7x-28}{4}[/tex]
y + 7 = [tex]\frac{-7x}{4} - 7[/tex]
y + 7 = [tex]\frac{-7x}{4} - 7[/tex] - 7
y = [tex]\frac{-7x}{4} - 14[/tex]
