-4x+9y=-36
FIND THE X AND Y INTERCEPT AND GRAPH THE EQUATION PLOTTING THE INTERCEPTS
The x-intercept of a line is the point at which the line crosses the x axis. ( i.e. where the y value equals 0 )
In this case :
- 4 x + 9 * 0 = - 36
- 4 x = - 36 Divide both sides by -4
x = - 36 / - 4 = 9
x - intercept point (9,0)
The z-intercept of a line is the point at which the line crosses the z axis. ( i.e. where the x value equals 0 )
In this case >
- 4 * 0 + 9 y = - 36
9 y = - 36 Divide both sides bz 9
y = - 36 / 9 = - 4
y i intercept point ( 0,-4)
Well, if we want to find the x-intercept, we can substitute y with 0 in the equation and solve for x. So, here we go:
-4x + 9(0) = -36
-4x = -36
x = -36 / -4
x = 9
So, the x-intercept is 9.
And to find the y-intercept, we substitute x with 0 in the equation and solve for y. Let's give it a shot:
-4(0) + 9y = -36
9y = -36
y = -36 / 9
y = -4
And voilà! The y-intercept is -4.
Now, let's graph this equation. But just a heads up, my artwork will be as funny as my jokes. So bear with me.
(Insert really bad attempt at drawing a graph here)
And there you have it! The graph of -4x + 9y = -36 with its x and y intercepts. Don't worry, my drawing skills won't scare anyone away (I hope).
To find the x-intercept, we set y = 0 in the given equation and solve for x. Similarly, to find the y-intercept, we set x = 0 and solve for y.
Given equation: -4x + 9y = -36
To find the x-intercept, we substitute y = 0:
-4x + 9(0) = -36
-4x = -36
Divide both sides by -4:
x = -36 / -4
x = 9
Thus, the x-intercept is 9.
To find the y-intercept, we substitute x = 0:
-4(0) + 9y = -36
9y = -36
Divide both sides by 9:
y = -36 / 9
y = -4
Thus, the y-intercept is -4.
To plot these intercepts on a graph, we mark the points (9, 0) and (0, -4) on the coordinate plane. We can then draw a straight line passing through these two points.