Question

Use your understanding of transformations and key features to write the slope-intercept equation of this linear function.

Answer 1

Answer:

M= -4/2 B=5

Step-by-step explanation:

First we know that when a line is slanted like this \ it is automatically negative. So then we plot 2 points on the line , make a right traingle and count the points across the x axis and then up the Y axis .  X will be on the bottom(2) and Y on the top(4). Add the negative sign. Therefor M = -4/2

Now to find B we need to find the point where the line intercepts the Y axis. we see that it touches the Y axis at 5. Therefor B= 5

Answer 2

Answer:

f(x)=-2x+5

Step-by-step explanation:

The line shown in the graph is always decreasing at a constant rate, has a slope of -2, and has a y-intercept of 5.

So the parent function has been reflected across the x-axis (multiplied by -1), vertically stretched by a factor of 2 (multiplied by 2), and vertically translated up 5 units (5 added to it).

Therefore, the slope-intercept equation that represents this linear function is f(x)=-2x+5.