Answer:
'Substitute the slope and the coordinates of point P(-3,2) in y = mx + b and then solve for b in each equation'.
Step-by-step explanation:
Kiana wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular to line q.
This equation is in the slope-intercept form where m is the slope and b is the y-intercept.
First, she finds the slope of line q and the slope of line s to be – 2. Point P is located at (-3,2).
Therefore, the step that can be used to find the y-intercept is 'substitute the slope and the coordinates of point P(-3,2) in y = mx + b and then solve for b in each equation'. (Answer)
They are the same because 2 ones is technicly like 20 they just add a zero
If it is $4.00 per gallon then we need to find the price of 7 gallons.
7 * 4.00 = 28
so it costs $28 to travel 350 miles.
no to find the cost per mile, we need to divide.
350 / 28 = 12.5
so the cost to run the car per mile is $12.50
Answer:
Distance between two points = √37
Step-by-step explanation:
Given:
(-2,-1)
(-3,5)
Find:
Distance between two points
Computation:
Distance = √(x1 -x2)² + (y1 - y2)²
Distance between two points = √(-2+3)² + (-1 - 5)²
Distance between two points = √ 1 + 36
Distance between two points = √37
C = (5,4)
D = (4,2)
Dilation with factor 8 => for the same x, y increase by a factor of 8
=> C' = (5, 8*4) = (5, 32)
=> D' = (4, 8*2) = (4, 16)
slope of C'D' = [32 - 16] / [5 -4 ] =16
You can also see that the slope of CD = [4 - 2] / [5 - 4] = 2
Then, the new slope is 8 times the old slope, this is it was multiplied by the same factor, 8.
Answer: 16
