Find the equation of the line. Write the equation in the form Ax + By = C.
-Passes through the origin anand $\left( 7 , \frac { 7 } { 4 } \right)$
A)y = 4
B) $y = \frac { 1 } { 4 }$
C) $\frac { 1 } { 4 } x - y = 0$
D)4x - y = 0

Question

Quizplus · Accepted Answer

Since the line passes through the origin (0,0) and the point (7, 7/4), we can find the slope (m) of the line using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points, we get $m = \frac{7/4 - 0}{7 - 0} = \frac{1}{4}$. The equation of a line in slope-intercept form is $y = mx + b$. Since the line passes through the origin, $b = 0$, so the equation becomes $y = \frac{1}{4}x$. To convert this into the form $Ax + By = C$, we rearrange the equation to get $\frac{1}{4}x - y = 0$, which matches option C.

Find the Equation of the Line (7,74)\left( 7 , \frac { 7 } { 4 } \right)(7,47​)

Find the Equation of the Line $\left( 7 , \frac { 7 } { 4 } \right)$