The equation of the line is y = -7/5x + 56/5
<h3>Equation of a line</h3>
The formula for expressing equation of a line is given as y = mx + b
where
m is the slope
b is the y-intercept
Given the coordinates A(8, 0) and (3, 7)
Determine the slope
Slope =7-0/3-8
Slope = -7/5
For the intercept
0 = -7/5(8) + b
b = 56/5
Hence the equation of the line is y = -7/5x + 56/5
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A is the correct answer that you’re looking for
Answer:
(x , y) = ( -4 , 1)
Step-by-step explanation:
2x + 7y = -1 --------eqn 1
4x - 3y = -19 ----------eqn 2
Step 1: let's pick eqn 1, to make y the subject of the formula
2x + 7y = -1
7y = -1 - 2x
Divide both sides by 7, to make y the subject of the formula
7y/7 = (-1 - 2x)/7
y = (-1 - 2x) / 7
Step 2: substitute y into the equation 2
4x - 3y = -19
4x - 3(-1 - 2x)/7 = -19
Open the bracket
-3 * -1 = +3
-3 * -2x = +6x
4x +( 3 + 6x)/7 = -19
LCM = 7
(28x + 3 + 6x)/7 = -19
(34x + 3)/7 = -19
Cross multiply
34x + 3 = 7 * -19
34x + 3 = -133
34x = -133 - 3
34x = -136
Divide both sides by 34,to get the value of x
34x/34 = -136/34
x = -4
Step 3: substitute x = -4 into eqn 1
2x + 7y = -1
2(-4) + 7y = -1
-8 + 7y = -1
7y = -1 + 8
7y = 7
Divide both sides by 7, to the value of y
7y/7 = 7/7
y = 1
(x , y) = ( -4 , 1)
Answer:
Y= 2.54
Step-by-step explanation:
Given proportion is:
y : 11 :: 3 : 13
13 y = 11 *3
y= 33/13
y = 2.538
or
y= 2.54
