Write the equation of a line, in slope-intercept form, with a y-intercept at the origin and a slope of 2.Oy=x+2OY=2OY=2xO2y =x

Question

asked Feb 26, 2023 65.9k views

1 Answer

Dlock · Answer 1 · 2023-03-05T12:09:32+0000

y=2x

Step-by-step explanation

the equaiton of a line in slope-intercept form is given by:

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

The y-intercept is the point where the graph intersects the y-axis, the y-coordinate of that point is b

so

Step 1

a)let

$\begin{gathered} y-intercept\Rightarrow(0,0) \\ so \\ b=0 \end{gathered}$

b) now ,replace in the equation

$\begin{gathered} y=mx+b \\ y=2x+0 \\ y=2x \end{gathered}$

therefore, the equation of the line

y=2x

I hope this helps you