Question

1/4x+y = -1

a) Determine the line's x-intercept, algebraically.
b) Determine the line's y-intercept, algebraically.
c) Identify the line's slope.
d) Graph the line using the line's intercepts.

Answer 1

a) x int: (-4,0)

b) y int : (0,-1)

c) -(1/4)

d) file uploaded

Explanation:

Answer 2

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let's solve :

a.) The equation is :

• 
  `(1)/(4) x + y = - 1`

at point of x - intercept, value of y - coordinate is 0, so let's put y = 0 in the equation to find x - intercept.

• 
  `(1)/(4) x + 0 = - 1`

• 
  `x = - 1 * 4`

• 
  `x = - 4`

so, value of x - intercept = -4, the point will be (-4 , 0)

b.) At y - intercept value of x - coordinate is 0, so let's put x = 0 in the equation to find y - intercept.

• 
  `(1)/(4) * 0 + y = - 1`

• 
  `y = - 1`

value of y - intercept = -1, the point will be (0 , -1)

c.) let's find slope :

• 
  `(y2 - y1)/(x2 - x1)`

• 
  `(0 - ( - 1))/( - 4 - 0)`

• 
  `- (1)/(4)`

d.) Let's graph the line using points (0 , -1) and (-4 , 0)

graph in attachment ~