Answer:
The slope intercept form: y = - 5x + 7
Step-by-step explanation:
The equation of line f is y − 9 = -5(x + 7)
You need to find the slope of line f
y - 9 = -5(x + 7)
In point slope form: y - y1 = m(x - x1) where m = slope
In the line f, slope m = -5
Parallel lines, slope is the same so slope of line g is also equal - 5
Line g passes through (3, - 8) so equation in point slope form:
y + 8 = -5(x - 3)
y + 8 = -5x + 15
y = -5x + 7 <-----this is slope intercept form
A converse is when we switch the hypothesis and conclusion, so "if a figure is a square then it has four right angles" the converse would be "If a figure has four right angles then it is a square" Which is false because of rectangles, your answer is D.
Answer:
Given the function: y=f(x) = 3x+2
when x=-2 at the beginning of the interval [-2, 5],
then;
y = 3x+2 begins at
y= 3(-2)+2 = -6+2= -4.
and
when x=5 at the end of the interval [-2, 5],
y = 3x+2 ends up at
y= 3(5)+2 = 15+2= 17.
So,
y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21
and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7
So, the average rate of change of y with respect to x over the interval
[-2, 5] is given by ;
=
Therefore, the average rate of change y with respect to x over the interval is, 3
Step-by-step explanation:
252miles
------------ = 31.5 miles per gallon
8 gal
Answer:
C. (4,28)
Step-by-step explanation:
When y = 8x - 4 ; x = 4
when u substitute x in the equation
the value of y = 28
y = (8 x 4) - 4
= 32 - 4
= <u>2</u><u>8</u><u>.</u>
As coordinates it would be (x,y) = <u>( 4,28 )</u>
