Question

Determine the intercepts of the line

y= 4x + 7

x-intercept: (____,___)
y-intercept: (____,___)

Answer 1

`\huge\mathfrak{ \underline{Answer : }}`

The equation of line is

`\hookrightarrow \: y= 4x + 7`

let's plug the value of " x as 0 " to find the coordinate of y at the " x - intercept "

• 
  `y = 4x + 7`

• 
  `y = (4 *0 ) + 7`

• 
  `y = 7`

therefore, the coordinates of x- intercept are :

`\large \boxed{(0,7)}`

now, let's plug the value of " y as 0 " to find the coordinate of x at the " y - intercept "

• 
  `y = 4x + 7`

• 
  `4x + 7 = 0`

• 
  `4x = - 7`

• 
  `x = ( - 7)/(4)`

therefore, the coordinates of y - intercept are :

`\boxed{ \bigg( ( - 7)/(4) ,0 \bigg)}`

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