Answer:
point ??????? I think not sure
Step-by-step explanation:
Slope-intercept form: y=mx+b
The slope is 8. This means that 8 multiplied by x is the slope of the line, and if there was no y-intercept then the first point would be (1,8) so 8 would be unit rate.
The y-intercept is -12. This means that though the slope of the line would still be 8, you move the point down on the y-axis by 12. The y-coordinate will always be 12 less than 8 times x
The area of the composite figure is
Explanation:
From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.
Area of the rectangle :
The formula is given by
where and
Substituting, we have,
Thus, the area of the rectangle =
Area of the triangle :
The formula is given by
where
and
Substituting, we have,
Thus, the area of the triangle =
Area of the composite figure = Area of the rectangle + area of the triangle
Area of the composite figure =
Thus, the area of the composite figure is
Answer:
1) Yes
2) No
Step-by-step explanation:
Substitute the x and y values of the given points into the equation and solve. If the result is a true statement, then they are solutions.
1) First, substitute the x and y values of (1,1.5) for the x and y in the given equation. Then, solve. (You can convert 1.5 from a decimal to a fraction, making it .)
The result is a true statement. Thus, (1, 1.5) is a solution to the equation.
2) Do the same with the point (12,4):
The result is a false statement. The two values are not equal. Thus, (12,4) is not a solution to the equation.