Question

two right triangles are graphed on a coordinate plane one triangle has a vertical side of Brie and a horizontal side of seven the other triangle has a vertical side of 9 and a horizontal side of 21 cuz the hypotenuse is of these two triangles lie along the same line

Answer 1

For the first right triangle

the points of the hypotenuse

(0,3)=(x1,y1)

(7,0)=(x2,y2)

the slope of the hypotenuse is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-3}{7-0}=\frac{-3}{7}=-\frac{3}{7}$

and the equation of the hypotenuse

$y=-\frac{3}{7}x+3$

For the second triangle

The points of the hypotenuse

(0,9)

(21,0)

$m=\frac{0-9}{21-0}=\frac{-9}{21}=-\frac{3}{7}$

and the equation of the hypotenuse

$y=-\frac{3}{7}x+9$

The equations are not equal but they have the same slope, which indicates that the equations are parallels.

The answer is

No, because one is larger than the other