i wrote an equation of a line that passesthrough the point (2,-3) and has a slope of -3 which equation represents my line?
y = -3x + b
-3 = -3*2 + b
-3 = -6 + b
b = 3
so
y = -3 x + 3
WELL I DON'T KNOW BUT I THINK IT IS Y=-3X+3 SO YOU DID GOOD
To find the equation of a line when given a point and the slope, we can use the point-slope form of a linear equation. The point-slope form is given by:
y - y₁ = m(x - x₁)
Where:
- (x₁, y₁) represents the given point on the line.
- m represents the slope of the line.
In this case, the given point is (2, -3), and the slope is -3. Substituting these values into the point-slope form, we have:
y - (-3) = -3(x - 2)
Simplifying further:
y + 3 = -3x + 6
Finally, rearranging the equation to get the slope-intercept form (y = mx + b):
y = -3x + 3
Thus, the equation of the line passing through the point (2, -3) with a slope of -3 is y = -3x + 3.