Question

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-5, -1); slope = negative 3 over 5

Answer 1

Answer:

The slope-intercept form of the equation of the line is $y = -\frac{3}{5} \cdot x -4$.

Step-by-step explanation:

We know that the slope-intercept form of the equation of the line is represented by:

$y = m\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

From statement we find that $m =-\frac{3}{5}$. If $x = -5$ and $y = -1$, the value of the y-intercept is:

$-1 =-\frac{3}{5}\cdot (-5)+b$

$-1 = 3 + b$

$b = -4$

The slope-intercept form of the equation of the line is $y = -\frac{3}{5} \cdot x -4$.