Answer:
The equation of the line in vertex form is y + 0.5 = -1/2(x + 6), it is linear.
Step-by-step explanation:
To find if the relationship shown by the two points is linear, first find if the slope is the same throughout the points using the slope formula.
y2-y1/
x2-x1
When you do, this you find that the slope is congruent throughout the points, this means the relationship is linear. You also find that the slope of the line is -1/2 Now, find the equation of the line by solving for b.
y=mx+b, Substitute any of the points for x and y and substitute m for the value of the slope.
(-4)=-1/2(1)+b, Solve for b:
-3.5 = b
The equation of the line in slope-intercept form is
y=-1/2x-3.5, now convert is to vertex form:
y+0.5=-1/2(x+6)
