Write an equation in point-slope form for the line through the given point with the given slope.
(-4,6); m=3/4
a. y-6=3/4x+4
b. y-6=3/4(x-4)
c. y-6=3/4(x+4)
d. y+6=3/4(x+4)
I am unaware of what the answer could be to this problem and help will be very appreciated. Thank you!
given a point (a,b) and the slope of the line of m,
the equation in the form required is:
y - b = m(x - a)
now which of the given equations fits that pattern ?
going right and up from the point (-4,6)
y-6 = (3/4)(x - -4)
or
y-6 =(3/4)(x+4)
To write an equation in point-slope form, we can use the equation:
y - y1 = m(x - x1),
where (x1, y1) represents the given point, and m represents the given slope.
In this case, the given point is (-4, 6), and the given slope is 3/4.
Substituting these values into the equation, we get:
y - 6 = (3/4)(x - (-4)).
Simplifying the expression, we have:
y - 6 = (3/4)(x + 4).
Therefore, the correct answer is option C:
y - 6 = 3/4(x + 4).