Find the x- and y-intercept of the line.
-7/5x -4y = 7
A.
x -intercept is -7/4; y-intercept is 5
B.
x -intercept is 5; y-intercept is 7/4
C.
x -intercept is 5; y-intercept is -7/4
D.
x -intercept is -5; y-intercept is -7/4
let's clean it up ...
times 5
-7x - 20y = 35
7x + 20y = -35
for the x-intercept, let y = 0
in your head: x = -5
for the y-intercept, let x = 0
y = -35/20 = -7/4
To find the x-intercept, we set y = 0 and solve for x.
-7/5x - 4(0) = 7
-7/5x = 7
Multiply both sides of the equation by 5 to get rid of the fraction:
-7x = 35
Divide both sides by -7:
x = -5
Therefore, the x-intercept is -5.
To find the y-intercept, we set x = 0 and solve for y.
-7/5(0) - 4y = 7
0 - 4y = 7
-4y = 7
Divide both sides by -4:
y = -7/4
Therefore, the y-intercept is -7/4.
The correct answer is:
D. x-intercept is -5; y-intercept is -7/4
To find the x-intercept of a line, we set y = 0 and solve for x.
To find the y-intercept, we set x = 0 and solve for y.
Given the equation -7/5x -4y = 7, we can find the x-intercept by substituting y = 0 in the equation:
-7/5x - 4(0) = 7
-7/5x = 7
Multiplying both sides by -5 to isolate x:
x = -7/5 * -5
x = 7
So the x-intercept is 7.
Next, we find the y-intercept by substituting x = 0 in the equation:
-7/5(0) - 4y = 7
0 - 4y = 7
-4y = 7
Dividing both sides by -4 to isolate y:
y = 7/-4
y = -7/4
So the y-intercept is -7/4.
Therefore, the correct answer is:
C. x-intercept is 7; y-intercept is -7/4.