Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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

Enter the correct answer in the box by replacing the values of m and b.


Use Your Understanding Of Transformations And Key Features To Write The Slopeintercept Equation Of This Linear Function Enter The Correct Answer In The Box By R class=

Sagot :

Answer:

[tex]y = -2x + 5[/tex]

m = -1

b = 5

Step-by-step explanation:

Hello!

Slope - Intercept Form: [tex]y = mx+b[/tex]

  • m = slope
  • b = y-intercept

Slope

The slope of the line is the rate of change, or how the graph changes in y as it changes in x.

Slope can be calculated by the formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

We need two points on the line to get the x and y-values. I'm going to choose points (0,5) and (4,-3).

Calculate Slope

  • [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
  • [tex]m = \frac{5 - (-3)}{0 - 4}[/tex]
  • [tex]m = -\frac{8}{4}[/tex]
  • [tex]m = -2[/tex]

The slope is -2.

Y-intercept

The y-intercept of the line is where the graph touches the y-axis (x = 0). It can be found by looking at the intersection of the graph and the axis.

The intersection happens at point (0,5), so the y-intercept is 5.

Equation

We found m, the slope, to be -2 and b, the y-intercept, to be 5. We can just plug it into the equation format.

Equation: [tex]y = -2x + 5[/tex]