Could someone help me this is what you have to do.
Determine the x- and y-intercept of the graph of each equation.
5x-y=-5 can someone show me how you do this I know you have to plug in 0 for both y and x.
Well, here's how to do it your way:
First, to find the y intercept, plug in 0 for x.
That means 5 times 0 - something equals five.
That means that it must be negative 5.
Then, put 0 in for y.
5 times something - 0 equals five, so obviously x is 1.
Another way is to take the equation from your form (standard form) into slope-intercept form, which is y=mx+b.
To do that, take 5x away from each side, and multiply each side by -1 to make the y positive.
That gets you to:
y = 5x + 5
Then, the y-intercept is 5, because, when in slope-intercept form, the y-intercept is always the number without the x. Then, to find the x-intercept,do what we did before with putting the 0 in for y.
That means:
0 = 5 times something (x) + 5
An easy way to figure that out is to take 5 away from each side, then divide by 5, which gets us -1, like before.
If you have any questions, you can write another response.
I hope I helped!
I have a question ok the y intercept is the ordered pair (0,-5), and the x intercept is (1,0)
Certainly! To find the x-intercept of the graph, you need to find the value of x at which the graph intersects the x-axis. To do this, we set y = 0 in the equation and solve for x.
Let's start by plugging in y = 0 into the equation 5x - y = -5:
5x - 0 = -5
Simplifying further, we have:
5x = -5
To solve for x, we divide both sides of the equation by 5:
x = -5/5
Simplifying the fraction, we get:
x = -1
So the x-intercept of the graph is (-1, 0). This means the graph intersects the x-axis at the point (-1, 0).
Now, let's find the y-intercept. The y-intercept is the value of y when the graph intersects the y-axis. To find this, we plug in x = 0 into the equation and solve for y.
Plugging in x = 0 into the equation 5x - y = -5:
5(0) - y = -5
Simplifying further, we have:
0 - y = -5
To solve for y, we multiply both sides of the equation by -1 to change the sign:
y = 5
Therefore, the y-intercept of the graph is (0, 5). This means the graph intersects the y-axis at the point (0, 5).
To summarize:
- The x-intercept of the graph is (-1, 0).
- The y-intercept of the graph is (0, 5).