What is the y-intercept of the line given by the equation y= 3x + 4?
2 answers:
First, notice that this equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier, m, or the coefficient of the ex term represents the slope of the line and the <em>b</em> or the constant term represents the y-intercept of the line.
I have attached slope-intercept form below.
Notice that below, the <em>b</em> is in place of the <em>4</em> in the equation.
So the y-intercept or the <em>b</em> is 4.
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Answer:
The 4th term in the sequence is -8.
Step-by-step explanation:
The nth term of the sequence B is given by:
So the fourth term will be given by:
B when n = 4, that is, B(4).
The 4th term in the sequence is -8.
Expanding the given expressions using Foil:
1)(–7x + 4)(–7x + 4) =
2) (–7x + 4)(4 – 7x)=
3)(–7x + 4)(–7x – 4)==
4)(–7x + 4)(7x – 4)=
The third option that is (–7x + 4)(–7x – 4) is difference of two squares.
We know that the points at which the parabola intersects the x axis are
(-5,0) and (1,0)
So the extent between these two points would be the base of the triangle
lets find the length of the base using the distance formula
the base b=6
We will get the height of the triangle when we put x=0 in the equation
y=a(0+5)(0-1)
y=-5a
so height = -5a (we take +5a since it is the height)
We know that the area of the triangle =
× 6 × (5a) = 12
15a=12
a=