Q. 28 - Algebra 2

Question

Write an equation in slope-intercept form for the line that satisfies each set of conditions.

 slope $\mathbf{4}$, passes through the origin

Step-by-Step Solution

Answer

The equation of the required straight line in slope-intercept form is $y=4x$.

Step 1. State the concept

The slope intercept form of a straight-line equation is $y=mx+c$ where m is the slope and c is the y-intercept.

The equation of a straight-line having slope m and passing through the point $\left(h,k\right)$ is given as $y-k=m\left(x-h\right)$.

Step 2. List the given data

It is given that the slope of the line is 4 and the line passes through the origin, that is, $\left(0,0\right)$.

Then, $m=4$ and $\left(h,k\right)=\left(0,0\right)$.

Step 3. Write the equation

Put $m=4$ and $\left(h,k\right)=\left(0,0\right)$ in $y-k=m\left(x-h\right)$ to get,

$y-0=4\left(x-0\right)$

$y=4x$   (Simplify)

So, the required equation of the straight line in slope-intercept form is $y=4x$.