<h2>
Answer:</h2>
y =
x + 3
<h2>
Step-by-step explanation:</h2>
As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c <em>or </em>-------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope <em>m</em> given by;
m = 
m = 
m = 
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m =
into equation (ii) as follows;
y - 3 =
(x - 0)
(iv) Solve for y from (iii)
y - 3 =
x
y =
x + 3 [This is the slope intercept form of the line]
Where the slope is
and the intercept is 3
Answer:
Y =4X -3
Step-by-step explanation:
x1 y1 x2 y2
1 1 -2 -11
(Y2-Y1) (-11)-(1)= -12 ΔY -12
(X2-X1) (-2)-(1)= -3 ΔX -3
slope= 4
B= -3
Y =4X -3
Answer:
Q1 d, Q2 c, Q3 d
Step-by-step explanation:
Q1
g(x)=-3x+1
g(x)=16 means that
-3x+1=16 subtract 1 from both sides
-3x=16-1 combine like terms and divide both sides by -3
x=-15/3=-5
Q2
g(x)=3x²+4x-1
g(2) means that x=2 so substitute
g(2)=3*2²+4*2-1=12+8-1=19
Q3
domain are the x values
range are the y values
If he starts out with $25 and to enter is $5 then he will be left with $20. 0.80 per ride then he can ride 25 times by diving 20 by 0.80