To find the equation of a line in slope-intercept form, you use the formula:
\[ y = mx + b \]
where \( m \) is the slope and \( b \) is the y-intercept.
Given a slope \( m = -4 \) and a y-intercept \( b = -2 \), you substitute these values into the formula:
\[ y = -4x - 2 \]
However, none of the given answer options exactly match this equation. Let's review the options closely:
A) \( y = \frac{3}{4}x + 2 \)
B) \( y = 2x + \frac{4}{3} \)
C) \( y = \frac{4}{3}x + 2 \)
D) \( y = -\frac{4}{3}x - 2 \)
Upon re-evaluating option D, it appears that there might be a confusion. The correct slope-intercept equation from the given slope and y-intercept should indeed be:
\[ y = -4x -2 \]
As none of the provided options match this exactly, it seems there might be a typographical error or a mismatch in the provided choices. The correct understanding without the choices given definitely points towards:
\[ y = -4x - 2 \]
What is the equation in slope-intercept form of a line with slope -4 and y-intercept -2? A) y = 3/4x + 2 В) y = 2x + 4/3 C) y = 4/3× + 2 D y = -4/3x -2
3 answers
one of them has to be right
I apologize for any confusion earlier. Let's re-evaluate the given options again in the context of the slope -4 and y-intercept -2:
A) \( y = \frac{3}{4}x + 2 \) - The slope is \( \frac{3}{4} \), which is not -4, so this is incorrect.
B) \( y = 2x + \frac{4}{3} \) - The slope is 2, which is not -4, so this is incorrect.
C) \( y = \frac{4}{3}x + 2 \) - The slope is \( \frac{4}{3} \), which is not -4, so this is incorrect.
D) \( y = -\frac{4}{3}x - 2 \) - The slope is \( -\frac{4}{3} \), which is not -4, so this initially seems incorrect, but I should analyze it with care due to it being the only contender left.
Given that none of these match the intended form \( y = -4x - 2 \),
- If the instruction insists that one option **must** match, then the best possible choice among them is option D, \( y = -\frac{4}{3}x - 2 \), from how it matches the y-intercept exactly, leaving slope as the mismatching element.
So, while none truly fits our perfect equation \( y = -4x - 2 \), according to given constraints:
**Option D** \( y = -\frac{4}{3}x - 2 \) aligns most closely in intercept.
A) \( y = \frac{3}{4}x + 2 \) - The slope is \( \frac{3}{4} \), which is not -4, so this is incorrect.
B) \( y = 2x + \frac{4}{3} \) - The slope is 2, which is not -4, so this is incorrect.
C) \( y = \frac{4}{3}x + 2 \) - The slope is \( \frac{4}{3} \), which is not -4, so this is incorrect.
D) \( y = -\frac{4}{3}x - 2 \) - The slope is \( -\frac{4}{3} \), which is not -4, so this initially seems incorrect, but I should analyze it with care due to it being the only contender left.
Given that none of these match the intended form \( y = -4x - 2 \),
- If the instruction insists that one option **must** match, then the best possible choice among them is option D, \( y = -\frac{4}{3}x - 2 \), from how it matches the y-intercept exactly, leaving slope as the mismatching element.
So, while none truly fits our perfect equation \( y = -4x - 2 \), according to given constraints:
**Option D** \( y = -\frac{4}{3}x - 2 \) aligns most closely in intercept.