Find the

Question

x
- and
y
-intercepts (if they exist), and graph the line.
5x-4y=5

X intercept:

Y intercept:

Answer 1

To find the x-intercept, we set y equal to 0 and solve for x:

5x - 4(0) = 5
5x = 5
x = 1

So the x-intercept is at (1, 0).

To find the y-intercept, we set x equal to 0 and solve for y:

5(0) - 4y = 5
-4y = 5
y = -5/4

So the y-intercept is at (0, -5/4).

Now let's graph the line. To do this, we can plot the x-intercept (1, 0) and the y-intercept (0, -5/4) and then draw a straight line connecting them.

Answer 2

Find the
x
- and
y
-intercepts (if they exist), and graph the line.
2x-3y=−3

Answer 3

To find the x-intercept, we set y equal to 0 and solve for x:

2x - 3(0) = -3
2x = -3
x = -3/2

So the x-intercept is at (-3/2, 0).

To find the y-intercept, we set x equal to 0 and solve for y:

2(0) - 3y = -3
-3y = -3
y = 1

So the y-intercept is at (0, 1).

Now let's graph the line. To do this, we can plot the x-intercept (-3/2, 0) and the y-intercept (0, 1) and then draw a straight line connecting them.

Answer 4

Find the
x
- and
y
- intercepts (if they exist), and graph the line.
2x-3y=0

Answer 5

To find the x-intercept, we set y equal to 0 and solve for x:

2x - 3(0) = 0
2x = 0
x = 0

So the x-intercept is at (0, 0).

To find the y-intercept, we set x equal to 0 and solve for y:

2(0) - 3y = 0
-3y = 0
y = 0

So the y-intercept is at (0, 0).

Now let's graph the line. Since both intercepts are at (0, 0), this means the line passes through the origin. Thus, the graph is a straight line passing through the point (0, 0).

Answer 6

Find the
x
- and
y
- intercepts (if they exist), and graph the line.

x=-4y

Answer 7

To find the x-intercept, we set y equal to 0 and solve for x:

x = -4(0)
x = 0

So the x-intercept is at (0, 0).

To find the y-intercept, we set x equal to 0 and solve for y:

0 = -4y
y = 0

So the y-intercept is at (0, 0).

Now let's graph the line. Since both intercepts are at (0, 0), this means the line passes through the origin. Thus, the graph is a straight line passing through the point (0, 0).

Answer 8

For X=3,
(a) Identify the equation as representing a horizontal or vertical line.
(b) Graph the line.
(c) Identify the x- and y-intercepts if they exist.

Answer 9

(a) The equation x = 3 represents a vertical line.

(b) To graph the line, we draw a vertical line passing through the point (3,0).

(c) Since the line is vertical, it does not intersect the y-axis (y-intercept). However, the x-intercept can be found by setting y equal to 0 and solving for x:

x = 3

So the x-intercept is at (3,0).

Answer 10

what would be the y intercept?

Answer 11

Apologies for the confusion in my previous response.
Since the equation x = 3 represents a vertical line that is parallel to the y-axis, it does not intersect the y-axis. Therefore, there is no y-intercept for the equation x = 3.