jasminek17 jasminek17
  • 25-04-2022
  • Mathematics
contestada

The graph of a linear equation has a slope of 4 and an x-intercept at (2, 0). What is the y-intercept of the graph?

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semsee45
semsee45 semsee45
  • 25-04-2022

Answer:

y-intercept = -8

Step-by-step explanation:

Slope-intercept form of a linear equation: y = mx + b

(where m is the slope and b is the y-intercept)

Given:

  • slope (m) = 4
  • point (x₁, y₁) = (2, 0)

Substituting the given values into the slope-point form of a linear equation:

[tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=4(x-2)[/tex]

[tex]\implies \sf y=4x-8[/tex]

Comparing the final equation with the Slope-intercept form of a linear equation, we can see that the y-intercept is -8

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