Respuesta :
find the slope soooo its (y2-y1/x2-x1)= -4/4 so -1 is slope
equation is y=-x+4
equation is y=-x+4
You have to find the slope using the slope formula: [tex] \frac{y_2-y_1}{x_2-x_1} [/tex]
[tex]( x_{1} ,y_{1} ) = (4, 0)[/tex]
[tex] ( x_{2}, y_{2}) = (0, 4) [/tex]
[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{4-0}{0-4} = \frac{4}{-4} = \frac{1}{-1} [/tex] = -1 = m
After finding slope, you have to find the equation using the point slope formula:
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 0) = -1(x - 4)[/tex]
[tex]y = -x + 4[/tex]
Hence, the equation is y = -x + 4 .
[tex]( x_{1} ,y_{1} ) = (4, 0)[/tex]
[tex] ( x_{2}, y_{2}) = (0, 4) [/tex]
[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{4-0}{0-4} = \frac{4}{-4} = \frac{1}{-1} [/tex] = -1 = m
After finding slope, you have to find the equation using the point slope formula:
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 0) = -1(x - 4)[/tex]
[tex]y = -x + 4[/tex]
Hence, the equation is y = -x + 4 .