1. Find the x-intercept and the y-intercept of 8x - 2y = -24.
a. x= -7, y= 2
b. x= -4, y= 14
c. x= -3, y= 12
d. x= -7, y= -2
answer: a
2.
Find the x- and y- intercept of the line 2x + 3y = -18.
a. x-intercept is 18, y-intercept is 18
b. x-intercept is -6, y-intercept is 9.
c. x-intercept is 2, y-intercept is 3.
d. x-intercept is -9, y-intercept is -6.
amswer c
They are both incorrect.
To find the x-intercept of the line
L : ax + by + c = 0
you would set y=0, (that is, where the line intersects the x-axis) and solve for x in :
ax + b(0) + c =0
To find the y-intercept, you would similarly set x=0, where L intersects the y-axis, and solve for y:
a(0) + by + c =0
Try the problems using the above methods and post your answers for checking if you wish.
what is the intercept form of -3x+3y=15
To find the x-intercept and y-intercept of the line, we need to set one of the variables to zero and solve for the other variable.
1. For the equation 8x - 2y = -24:
To find the x-intercept, we set y=0 and solve for x:
8x - 2(0) = -24
8x = -24
x = -24/8
x = -3
So the x-intercept is -3.
To find the y-intercept, we set x=0 and solve for y:
8(0) - 2y = -24
-2y = -24
y = -24/-2
y = 12
So the y-intercept is 12.
Therefore, the correct answer is c. x=-3, y=12.
2. For the equation 2x + 3y = -18:
To find the x-intercept, we set y=0 and solve for x:
2x + 3(0) = -18
2x = -18
x = -18/2
x = -9
So the x-intercept is -9.
To find the y-intercept, we set x=0 and solve for y:
2(0) + 3y = -18
3y = -18
y = -18/3
y = -6
So the y-intercept is -6.
Therefore, the correct answer is d. x-intercept is -9, y-intercept is -6.
To find the x-intercept and y-intercept of a line, you need to set either x or y to zero and solve for the other variable.
1. For the equation 8x - 2y = -24:
To find the x-intercept, set y = 0 and solve for x.
8x - 2(0) = -24
8x = -24
x = -3
To find the y-intercept, set x = 0 and solve for y.
8(0) - 2y = -24
-2y = -24
y = 12
So, the x-intercept is -3 and the y-intercept is 12. The correct answer is option c.
2. For the equation 2x + 3y = -18:
To find the x-intercept, set y = 0 and solve for x.
2x + 3(0) = -18
2x = -18
x = -9
To find the y-intercept, set x = 0 and solve for y.
2(0) + 3y = -18
3y = -18
y = -6
So, the x-intercept is -9 and the y-intercept is -6. The correct answer is option d.