Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.

1 answer:

3 0

When you have a linear equation of the form y = mx, such as this one, you know immediately that the line passes thru the origin (0,0). Were the form y = mx + b, then the y-intercept would be (0,b) and the x-intercept ( [-b/m, 0).

You might be interested in

On a scale drawing a door that is 7 feet tall is drawn 2 inches tall. In this scale, 1 inch is equal to how many feet?

Cloud [144]

Answer:

4.5 ft

Step-by-step explanation:

7/2=4.5

8 0

3 years ago

Read 2 more answers

suppose f(x)=3x+5. describe how the graph of each function compares to f. 1) g(x)=f(x)+12 2) h(x)=f(x)-7 3) g(x)=f(x=8) 4) h(x)=

Lubov Fominskaja [6]

g(x) = f(x)+12 represents translating f(x) 12 units up to get g(x). This is because y = f(x), so we're effectively adding 12 to each y coordinate of the points on f(x) to have them move to the points on g(x).

note: the term "translating" is another way of saying "shifting" or "sliding".

===================================================

h(x) = f(x)-7 means translating f(x) 7 units down to get h(x). We use the same reasoning as in problem 1. The general form is h(x) = f(x)+k, and in this case, k = -7. The negative k value tells us to shift down.

===================================================

g(x) = f(x+8) means we translate 8 units to the left. The general template is g(x) = f(x-h). If h > 0, then we shift right. If h < 0, then we shift left. The amount that is shifted is equal to the absolute value of h.

===================================================

h(x) = f(x-14) tells us to shift f(x) 14 units to the right. Same idea as problem 3, but now h = 14.

===================================================

g(x) = 4*f(x) means we vertically stretch f(x) by a factor of 4. Since y = f(x), we are effectively doing g(x) = 4*f(x) = 4*y, which pulls the y coordinates upward by a factor of 4. A point like (1,2) will jump to (1,8) after multiplying the y coordinate by 4.

===================================================

g(x) = f(5x) tells us to horizontally compress f(x) by a factor of 5. The general template is g(x) = f(a*x) where the 'a' determines horizontal stretching or compression. If $0 \le a \le 1$ , then we have horizontal stretching going on. If $a > 1$ , then we'll have horizontal compression.