Answer:
f = -10
( -3, -4) ( - 4 , -10)
Step-by-step explanation:
Formula for slope
m =( y_2 - y_1)/(x _2 - x _1)
m = 6
6 = (y_2 - y_1) / (x _2 - x_1)
Substitute the points
( -3 , -4) ( -4 , f)
x_1 = -3
y_1 = -4
x_2 = -4
y_2 = f
Insert the values into
6 = (y_2 - y_1) / (x_2 - x_1)
6 = (f - (-4))/ ( -4 - (-3)
6 = ( f + 4)/ ( -4 + 3)
Cross multiply
6 ( -4 + 3) = f + 4
6 ( -1) = f + 4
-6 = f + 4
-6 - 4 = f
f = -6 - 4
f = -10
( -3 , -4) ( -3 , f)
The value of f is -10
( -3 , -4) ( -3 , -10)
Answer:
Step-by-step explanation:
-3x + 4y = -18
8x - 4y = 28
5x = 10
x = 2
4 - y = 7
-y = 3
y = -3
(2, -3)
Answer:
C
Step-by-step explanation:
The function multiplies by 8 so 6 would be 48 and 10 would be 80.
Have a great day!
Answer:
1.) Y = 5/3 X + 4
2.) Y = 9/4 X - 27/4
Step-by-step explanation:
Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is
Y = MX + C
Where the
Slope M = 5/3
Coordinate = (-3,-1) in which
X = -3, Y = -1
Substitute X, Y and M into the general linear equation to achieve C
-1 = 5/3(-3) + C
-1 = - 5 + C
C = 5 - 1
C = 4
Substitute C and M back into the general linear equation.
Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be
Y = 5/3 X + 4
2.) Also,
Slope M = 9/4
Coordinate = (3,0) where X = 3, Y = 0
Substitute X, Y and M into the general linear equation to obtain C
0 = 9/4 (3) + C
C = - 27/4
Substitutes C and M back into the general linear equation
Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)
Y = 9/4 X - 27/4
