Good evening. I do not know how to solve this kind of problem. Could someone help me.
Find both x-intercept and the y-intercept of the line given by the equation for 2.4x+2.9y+6.4=0
Thank you for your kindness.
first of all we can get rid of our decimals by multiplying each term by 10 to get
24x + 29y + 64 = 0
for the x-intercept, let y = 0
mentally block out the y term to get
24x = -64
x = -64/24 = -8/3
for the y-intercept, let x = 0
mentally block out the x term to get
29y = -64
y = -64/29
all done
thank you very much Reiny. This help a lot.
Good evening! I'd be happy to help you solve this problem. To find the x-intercept and y-intercept of a line given its equation, you need to remember that the x-intercept is the point where the line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
To find the x-intercept, you set y equal to zero in the equation of the line and solve for x. Similarly, to find the y-intercept, you set x equal to zero in the equation and solve for y.
Let's start with finding the x-intercept. To do this, we set y = 0 in the equation 2.4x + 2.9y + 6.4 = 0:
2.4x + 2.9(0) + 6.4 = 0
2.4x + 6.4 = 0
Next, we can isolate x by subtracting 6.4 from both sides of the equation:
2.4x = -6.4
Now, divide both sides of the equation by 2.4 to solve for x:
x = -6.4/2.4
x ≈ -2.67
So, the x-intercept is approximately -2.67.
Now let's move on to finding the y-intercept. To do this, we set x = 0 in the equation 2.4x + 2.9y + 6.4 = 0:
2.4(0) + 2.9y + 6.4 = 0
2.9y + 6.4 = 0
To isolate y, we subtract 6.4 from both sides of the equation:
2.9y = -6.4
Now, divide both sides of the equation by 2.9 to solve for y:
y = -6.4/2.9
y ≈ -2.21
Therefore, the y-intercept is approximately -2.21.
So, the x-intercept is approximately -2.67 and the y-intercept is approximately -2.21.