The equation in slope-intercept form is [tex]y = \frac{5}{4}x -4[/tex]
Given the following points:
- Points on the x-axis = -4
- Points on the y-axis = -9
- Slope, m = [tex]\frac{5}{4}[/tex]
To write an equation in slope-intercept form:
The standard form of an equation of line is given by the formula;
[tex]y = mx + b[/tex]
Where:
First of all, we would determine the intercept:
[tex]-9 = \frac{5}{4} (-4) + b\\\\-9 = -5 + b\\\\b = -9 + 5[/tex]
Intercept, b = -4
The equation in slope-intercept form:
[tex]y = \frac{5}{4}x + (-4)\\\\y = \frac{5}{4}x -4[/tex]
Therefore, the equation in slope-intercept form is [tex]y = \frac{5}{4}x -4[/tex]
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