Question

Write the slope- intercept form of the equation of each line given the slope and Y-intercept: Slope = -1 and y- intercept = 0

Answer 1

The slope intercept form of a straight line is given by the general equation below

$y=mx+c$

Where, y is the dependent variable, x is the independent variable, m is the slope or the gradient, while c is the intercept on the y-axis

Given that the slope,m and the intercept, c is as shown below

$\begin{gathered} m=-1 \\ c=0 \end{gathered}$

Substituting the values of m and c into the general equation will give:

$\begin{gathered} y=mx+c \\ y=(-1)x+0 \\ y=-x \end{gathered}$

Hence, the slope intercept form of the equation is y = - x