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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 :

chetankachana

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]

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