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1. What is the Y intercept of this graph?

2. What is the X intercept of this graph?

3. What is the slope of this line?

4. What Is the equation of this line?

Will give brainliest to whoever can answer all of these correctly

1 What is the Y intercept of this graph 2 What is the X intercept of this graph 3 What is the slope of this line 4 What Is the equation of this line Will give b class=


Answer :

juniorpointdujour18

Answer:y =  mx + b Start by writing a linear equation in slope-intercept form.

5 =  (3)(-2) + b Next, replace variables y, m, and x with their corresponding values.

5 =  -6 + b  From here, solve the one-step equation for b.

11 =  b  b = 11, so the y-intercept is 11.

Step-by-step explanation:

semsee45

Answer:

1.  y-intercept = 5

2.  x-intercept = -2.5

3.  slope = 2

4.  y = 2x + 5

Step-by-step explanation:

Part 1

The y-intercept is the point at which the line crosses the y-axis, so when x=0.  From inspection of the given graph, the y-intercept is 5.

Part 2

The x-intercept is the point at which the line crosses the x-axis, so when y=0.  From inspection of the given graph, the x-intercept is -2.5.

Part 3

The slope of the line is the measure of its steepness.  To find the slope of a line, substitute two points on the line into the slope formula.

Two points on the line are the y-intercept and the x-intercept:

  • (x₁, y₁) = (0, 5)
  • (x₂, y₂) = (-2.5, 0)

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-5}{-2.5-0}=\dfrac{-5}{-2.5}=2[/tex]

Therefore, the slope of the line is 2.

Part 4

Slope-intercept form of a linear equation:

[tex]\boxed{y=mx+b}[/tex]

Where:

  • m is the slope.
  • b is the y-intercept.

Substitute the found slope and y-intercept from Part 3 and Part 1 into the formula to create an equation for the line:

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

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