Step-by-step explanation:
the typical line equation is
y = ax + b
a is the slope. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept (the y value when x = 0) indicating the point, where the line crosses the y-axis.
going from one to the other point
x changes by +8 (from -6 to 2).
y changes by +4 (from 3 to 7).
so, the slope a is +4/+8 = 1/2.
the semi-finished equation is
y = 1/2 x + b
for b we use one of the points in the equation and since for b. let's go for (2, 7) :
7 = 1/2 × 2 + b = 1 + b
6 = b
so, the full equation is
y = 1/2 x + 6
H=henry's age
j=justin's age
h=10j
in 6 years (h+6 and j+6)
h+6=4(j+6)
the equations are
h=10j and
h+6=4(j+6)
C is answer
1st one is the correct one
A regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base.
Answer:
y = 4x - 9
Step-by-step explanation:
Take 2 points:
(0,-9) and (4,7)
Find the slope:
(7 - (-9))/(4 - 0)
16/4 = 4
so we have y = 4x + b
Now find b:
Insert a point for y and x:
7 = 4(4) + b
7 = 16 + b
b = -9
y = 4x - 9
