Question

The point 7,2 and -1,0 lie on which line

Answer 1

This is the equation of line.

$x - 4y + 1 = 0$

Step-by-step explanation:

Let's assume a line L upon which these two points lie.

We can assume that these two points are end points of line L.

• Then, $x_1 = 7, y_1 = 2, x_2 = -1, y_2 = 0$

Now, we can find out the slope of line L.

• Slope = $\dfrac{y_2-y_1}{x_2-x_1}$

= $\dfrac{0-2}{-1-7}$ = $\dfrac{1}{4}$

Therefore, we can write the equation of line as;

• $y - y_1 = \dfrac{y_2-y_1}{x_2-x_1} (x - x_1)$

This equation is also known as point slope form of line.

$4y - 8 = x - 7$

$x - 4y + 1 = 0$

This is the equation of line.

Answer 2

Answer:

$4y = x + 1$