Answer:
y= -3x-12
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.
Given that the slope is -3, m= -3.
Substitute the value of m into the equation.
y= -3x +c
Now, substitute the given coordinates into the equation.
When x= -5, y= 3,
3= -3(-5) +c
3= 15 +c
c= 3 -15
c= -12
Hence, the equation of the line is y= -3x-12
Answer:
<em>1 and 9</em>
Step-by-step explanation:
<u>Common Solutions to Functions</u>
Let f(x) and g(x) be any type of function. When we need to find values of x such that f(x)=g(x), we usually set up the equation for each of them and solve it for x by any available algebraic or approximate method.
In this situation, we are not given the explicit expression of any of the functions, but the table of values for each one of them. We have to take a look of the values of x for which f and g are the same.
A closer look at the table reveals that f(x)=g(x) for two values of x:
for x=1, f(1) = 14 , g(1) = 14
for x = 9, f(9) = 6, g(9) = 6
The answers are 1 and 9
5(4x-1) = 80
20x - 5 = 80
20x - 5 + 5 = 80 + 5
20x = 85
20x/20 = 85/20
X = 85/20
X = 17/4 if reduced to lowest terms by dividing both the top and bottom number by 5.
