Question

Identify the slope and y-intercept of the equation y= -7x+4

Answer 1

Solution:

Given:

$y=-7x+4$

The equation is the equation of a line in the slope-intercept form.

To get the slope and y-intercept of the equation, we compare it to the equation of a line in slope-intercept form.

$\begin{gathered} y=mx+b \\ \text{where;} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}$

Hence,

$\begin{gathered} y=mx+b \\ y=-7x+4 \\ \\ \text{Comparing the two equations,} \\ m=-7 \\ b=4 \end{gathered}$

Therefore,

The slope is -7

The y-intercept is 4