Question

What is the x-intercept of line joining (4, 2) and (6, 3)?

Answer 1

Answer:

slope of line = 1/2

equation is

(y-2)=1/2(x-4)

2y-4 = x-4

2y = x

x and y intercept of the line is zero because line passing through origin (0,0)

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Answer 2

The x-intercept of line joining (4, 2) and (6, 3) is 0.

Step-by-step explanation:

To find : What is the x-intercept of line joining (4, 2) and (6, 3)?

Solution :

The two point slope form is

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

Here, $(x_1,y_1)=(4, 2)$ and $(x_2,y_2)=(6,3)$

Substitute the values,

$(y-2)=\frac{3-2}{6-4}(x-4)$

$(y-2)=\frac{1}{2}(x-4)$

$2y-4=x-4$

$2y-x=0$

The x-intercept of line is when y=0,

$2(0)-x=0$

$x=0$

Therefore, the x-intercept of line joining (4, 2) and (6, 3) is 0.

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