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I need help with this​

I need help with this​-example-1
User Squadrick
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Answer:

Equation of the line (slope-intercept form): y = 2/3x + 4

Explanation:

We can find the equation in slope-intercept form, whose general form is

y = mx + b, where

  • m is the slope,
  • and b is the y-intercept:

y-intercept, b: We see on the graph that the line intersects the y-axis at the point (0, 4). Thus, the y-intercept (b in the slope-intercept equation) is 4.

Slope, m: We can find the slope using the slope formula, which is

m = (y2 - y1) / (x2 - x1), where

  • m is the slope,
  • (x1, y1) is one point on the line,
  • (x2, y2) is another point on the line

We see from the line intersects the x-axis at (-6, 0). Thus, we can allow (-6, 0) to be our (x1, y1) point and (0, 4) to be our (x2, y2) point:

m = (4 - 0) / (0 - (-6))

m = (4) / (0 + 6)

m = 4 / 6

m = 2/3

Since the slope of the line is 2/3 and the y-intercept is 4, the equation of the line is y = 2/3x + 4

User Ximyu
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