Answer: option C is the correct answer
Step-by-step explanation:
The y-intercept of the function is the point on the y or vertical axis at which the straight line cuts through it. The value on the y axis is read off as the y-intercept .
The equation of a straight line is modelled using the slope - intercept equation of
y = mx + c
Where m is the slope( change in value of y/ change in value of x.
c = the y-intercept
Looking at the function given,
f(x)=4 – 5x? Where f(x) is the same as y in our slope intercept equation.
Rearranging the function, it becomes
f(x)= – 5x +4
The intercept is 4
Option C is the correct answer.
It will be the model that has the arrow going to the right with the starting point at 60 having a solid circle.
Answer:
The 3rd one
Step-by-step explanation:
Answer:
The equation of the line is;
3y = 2x-8
Step-by-step explanation:
Firstly, we need the to get the slope of the given line
To do this, we will write the equation of the line in the standard form
the standard form
is;
y = mx + b
where m is the slope and b is the y-intercept
y -4 = 2/3(x-3)
y -4 = 2x/3 - 2
y = 2x/3 -2 + 4
y = 2x/3 + 2
with respect to the given equation, the slope of the line is 2/3
Mathematically, when two lines are parallel, the slopes of the line are equal
So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)
so;
y = 2x/3 + b
So substitute the values of (1,-2)
1 for x and -2 for y
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3
b = (-6-2)/3 = -8/3
So the equation of that line is;
y = 2/3x - 8/3
Multiply through by 3
3y = 2x - 8
1st you need to fine the slope using
S = y2-y1/x2-x1
S = -6 - 3/2-2
S = -9/0
S = Undefined
when we have undefined slope the equation would be a vertical lines.
Thus the equation would be the x value of the point
Thus the equation is x = 2
