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4x+y=0

Direction:
Slope:
Y-intercept:
X-intercept:

Slope-Intercept Form:

User Ongenz
by
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1 Answer

6 votes

Final answer:

The linear equation 4x+y=0 has the slope -4 and both x-intercept and y-intercept at (0,0), with the slope-intercept form being y = -4x.

Step-by-step explanation:

The equation given is 4x+y=0. To find the slope and y-intercept of this linear equation, we first want to put it in the slope-intercept form, which is y = mx + b. Here, m represents the slope and b represents the y-intercept. First, we solve for y by isolating it on one side of the equation:

y = -4x + 0

From this new equation, it is clear that the slope (m) is -4, as it is the coefficient of x. The y-intercept (b) is 0 because it's the constant in the equation. To find the x-intercept, we set y to 0 and solve for x, which gives us x = 0. Therefore, the x-intercept is also at (0,0), which is the same as the y-intercept in this case.

  • Direction: Since the slope is negative, the line slants downwards from left to right.
  • Slope: -4
  • Y-intercept: (0,0)
  • X-intercept: (0,0)
  • Slope-Intercept Form: y = -4x
User Stefan Jaspers
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