Verified Answer :

princessmiri

-9 = 5/4(-4) + b
-9 = -5 + b
+5
-4 = b

y = 5/4x - 4

Lanuel

The equation in slope-intercept form is \(y = \frac{5}{4}x -4\)

Given the following points:

  • Points on the x-axis = -4
  • Points on the y-axis = -9
  • Slope, m = \(\frac{5}{4}\)

To write an equation in slope-intercept form:

The standard form of an equation of line is given by the formula;

\(y = mx + b\)

Where:

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

First of all, we would determine the intercept:

\(-9 = \frac{5}{4} (-4) + b\\\\-9 = -5 + b\\\\b = -9 + 5\)

Intercept, b = -4

The equation in slope-intercept form:

\(y = \frac{5}{4}x + (-4)\\\\y = \frac{5}{4}x -4\)

Therefore, the equation in slope-intercept form is \(y = \frac{5}{4}x -4\)

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