Question

Find the x and y intercept.

y=-30x-5

Please explain your answer in steps so that I understand what I'm doing too, thank you very much in advance.

Answer 1

• x-intercept = -1/6
• y-intercept = -5

Explanation :

all you are required to do in order to find the x and y intercept is put the value of y = 0 to find the former one and put the value of x = 0 to find the latter one.

x-intercept

• y = -30x -5
• 0 = -30x -5
• -30x = 5
• x = -5/30
• x = -1/6

thus, x-intercept = -1/6

y-intercept

• y = -30x - 5
• y = -30*0 - 5
• y = 0 -5
• y = -5

thus, y-intercept = -5

Answer 2

X-Intercept:
`\sf (-1/6, 0)`

Y-Intercept:
`\sf (0, -5)`

Explanation:

To find the x and y-intercepts of the equation
`\sf y = -30x - 5`, let's first understand what these intercepts mean.

X-Intercept: The x-intercept is the point where the graph intersects the x-axis. At this point, the value of y is zero.

Y-Intercept: The y-intercept is the point where the graph intersects the y-axis. At this point, the value of x is zero.

Now, let's find the intercepts:

X-Intercept (when
`\sf y =0`):

`\sf 0 = -30x - 5`

Add 5 to both sides:

`\sf 5 = -30x - 5+5`

`\sf 30x = -5`

Divide by 30:

`\sf (30x)/(30) =( -5)/(30)`

`\sf x = -(1)/(6)`

So, the x-intercept is
`\sf (-1/6, 0)`.

Y-Intercept (when
`\sf x = 0`):

`\sf y = -30 * 0 - 5`

`\sf y = -5`

So, the y-intercept is
`\sf (0, -5)`.

In summary:

X-Intercept:
`\sf (-1/6, 0)`

Y-Intercept:
`\sf (0, -5)`