Answer:
The slope-intercept form of the equation of the line is [tex]y = -\frac{3}{5} \cdot x -4[/tex].
Step-by-step explanation:
We know that the slope-intercept form of the equation of the line is represented by:
[tex]y = m\cdot x + b[/tex]
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
From statement we find that [tex]m =-\frac{3}{5}[/tex]. If [tex]x = -5[/tex] and [tex]y = -1[/tex], the value of the y-intercept is:
[tex]-1 =-\frac{3}{5}\cdot (-5)+b[/tex]
[tex]-1 = 3 + b[/tex]
[tex]b = -4[/tex]
The slope-intercept form of the equation of the line is [tex]y = -\frac{3}{5} \cdot x -4[/tex].
