wat is an equation of the line that passes through the point (4,-6) and has a slope of -3??? some one plzzz help me those are the choices
y= 3x+6
y=3x+6
y=3x+10
y=3x+14
None have a slope of three. Shouldn't the first one of the choices have a "minus" sign in front of the y? That would be the correct answer, if it did.
To find the equation of a line that passes through a given point and has a given slope, you can use the point-slope form of a linear equation, which is:
y - y1 = m(x - x1)
In this case:
Point (x1, y1) = (4, -6)
Slope (m) = -3
Substituting the values into the point-slope form, we get:
y - (-6) = -3(x - 4)
y + 6 = -3x + 12
Now, let's simplify the equation:
y = -3x + 12 - 6
y = -3x + 6
Therefore, the equation of the line that passes through the point (4, -6) and has a slope of -3 is y = -3x + 6.