Question

A straight line passing via (2,5) and (26/3,0) where should it intersect the x axis and the y axis

Answer 1

( 2 , 5 ) and ( 26 /3 , 0 )

Explanation:

Find the equation using the two points.

Use y = m x + b to calculate the equation of the line, where m represents the slope and b represents the y-intercept. To calculate the equation of the line, use the y = m x + b format.

Slope is equal to the change in y over the change in x , or rise over run.

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

`m=\frac{y_{2-y_(1) } }{x_{2-y_(1) } }`

Substitute in the values of x and y into the equation to find the slope.

`m=(0-(5))/((2)/(6) -(2))`

Multiply the numerator and denominator of the complex fraction by 3 .

Finding the slope m .

`m=-(3)/(4)`

Find the value of b using the formula for the equation of a line.

`b=(13)/(2)`

Find the x-intercepts.

To find the x-intercept(s), substitute in 0 for y and solve for x .

`0=-(3)/(4)x+(13)/(2)`

solve the equation

`x=(26)/(3)`

x-intercept(s):
`((26)/(3),0)`

Find the y-intercepts.

To find the y-intercept(s), substitute in 0 for x and solve for y .

`0=-(3)/(4)*0+(13)/(2)`

`y=(13)/(2)`

y-intercept(s):
`(0,(13)/(2))`