which of the following is the equation in slope intercept form of the line that passes through (0, 2) and has a slope of -3?
A. y = -3x + 2
B. y = 2x - 3
C. y = 2/3x + 0
D. y = -3/2x + 0
The equation for the line in Y-intercept form is y=mx+b
Where
m=slope
and
b=y-intercept
Which answer choice has m=-3?
Off the bat, you should eliminate two answer choices (B and C) because m is positive and not negative.
This leaves you with two answer choices, which you can use the general equation that I provided to figure out the correct answer choice.
Thank you
To determine the equation in slope-intercept form (y = mx + b) of a line that passes through a given point (0, 2) and has a slope of -3, we can follow these steps:
1. Start with the slope-intercept form: y = mx + b, where m represents the slope and b represents the y-intercept.
2. Substitute the given slope into the equation. In this case, the slope (m) is -3, so the equation becomes y = -3x + b.
3. Use the given point (0, 2) to find the value of the y-intercept (b). Substitute the x-coordinate (0) and y-coordinate (2) into the equation, and then solve for b:
2 = -3(0) + b
2 = 0 + b
b = 2
4. Finally, substitute the value of the y-intercept (b = 2) back into the equation. The equation y = -3x + b becomes y = -3x + 2.
Therefore, the equation in slope-intercept form that represents the line passing through (0, 2) with a slope of -3 is y = -3x + 2.
Option A: y = -3x + 2