What is the Y-Intercept of the line that has a slope of -4 and passes through the point (4,-6)
2 answers:
Answer:
Y-intercept = 22
Step-by-step explanation:
The equation of a line in slope-intercept format is given by the equation y=mx+c
where m is the slope and c the y-intercept.
(The y-intercept is the value of y when x = 0)
Slope given as -4
And we know it passes through the point(4,6) ie at x=4, y =6
Substitute in above equation to get value of c, the y-intercept
6 = -4(4) + c
6 = -16 + c
c = 22
And this is the y-intercept
The equation of the line is y = -4x + 22
See attached figure for graph
You might be interested in
Answer:
Minimum number of units sold to make profit is equal to 20
Step-by-step explanation:
Revenue earned by the company as a function of number of units sold as x:
R(x) = 0.55x
Cost for selling units as a function of number of units sold as x:
C(x) = 10 + 0.05x
<em>Net profit earned by the company = (Revenue earned by the company) - (Cost of selling units)</em>
P(x) = (0.55x) - (10 + 0.05x)
P(x) = 0.55x - 10 - 0.05x
P(x) = 0.5x - 10
To earn profit the following condition should satisfy: P(x) ≥ 0
0.5x - 10 ≥ 0
0.5x ≥ 10
x ≥
x ≥ 20