Question

Write an equation in slope-intercept form for the line that passes through (0, 4) and is parallel to the equation: y=-4x+5 ?

Answer 1

The equation is `y=-4x+4`

Explanation:

The slope-intercept form is `y=mx+b`, where m is the slope and b is where the line intercepts the y-axis.

Based on the description, the y-intercept is 4. If you substitute the desired point into the equation:

`4=m*(0)+b rArr 4=b`

Now our line equation looks like this:

`y=mx+4`

By definition, parallel lines can never cross. In 2-D space, that means the lines must have the same slope. Knowing that the slope of the other line is -4, we can plug that into our equation to get the solution:

`color(red)(y=-4x+4)`