Answer for problem 1: slope = 2, y intercept = 3
Answer for problem 2: slope = 3/4, y intercept = -2
Explanation:
Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).
Answer:
y = -3x + 5
Step-by-step explanation:
Usually by drawing a simple graph, you can tell what the equation is, even if the graph isn't 100% accurate. From the points alone, you can tell that the slope is negative, since as you increase in x you decrease in y (which is a negative relationship). You can tell that it's +5 rather than -5 because the graph sketched shows that the line goes above 0 (indicating a positive number), rather than below (a negative number).
Answer:
The correct options are:
Option B)
is never zero.
Option F) When x=0, y≠0
Step-by-step explanation:
Consider the provided function.

When we substitute x=0 in above function we get:


When we substitute x=-1 in above function we get:


When we substitute x=1 in above function we get:


The above function is exponential function which does not pass through the origin and the range of the function is a positive number.
The graph of the function is shown in figure 1.
Now consider the provided options.
Option A)
is always greater than or equal to 1.
The option is incorrect as the value of the function is less than 1 for negative value of x.
Option B)
is never zero
The option is correct.
Option C) When y=0, x=0
The option is incorrect.
Option D) When x=0, y=4
When x=0 the value of y is 1.
Thus, the option is incorrect.
Option E)
is zero when x=0
When x=0 the value of
is 1.
Thus, the option is incorrect.
Option F) When x=0, y≠0
The option is correct as 0≠1.
9514 1404 393
Answer:
y -4 = -1/3(x -9)
Step-by-step explanation:
The point-slope form of the equation for a line is useful for this.
y -k = m(x -h) . . . . . . . line through point (h, k) with slope m
You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...
y -4 = -1/3(x -9)