SOLUTION: write the slope -int form for an equation of a line that passes through (0,4) and is perpendicular to the graph 3x+ 8y=4

Question 253953: write the slope -int form for an equation of a line that passes through (0,4) and is perpendicular to the graph 3x+ 8y=4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Subtract from both sides.

Rearrange the terms.

Divide both sides by to isolate y.

Break up the fraction.

Reduce.

We can see that the equation has a slope and a y-intercept .

Now to find the slope of the perpendicular line, simply flip the slope to get . Now change the sign to get . So the perpendicular slope is .

Now let's use the point slope formula to find the equation of the perpendicular line by plugging in the slope and the coordinates of the given point

.

Start with the point slope formula

Plug in , , and

Distribute

Multiply

Add 4 to both sides.

Combine like terms.

So the equation of the line perpendicular to that goes through the point

is .

Here's a graph to visually verify our answer:

Graph of the original equation (red) and the perpendicular line (green) through the point

.

RELATED QUESTIONS
Write the slope-intercept form of an equation for a line that passes through (-1, 0) and... (answered by ewatrrr)

Write the slope-intercept form of an equation for a line that passes through (-1,0) and... (answered by vleith)

what is the slope int form of a line that is passing through the point of (-2,5) and is... (answered by ewatrrr)

Wite the slope-intercept form of an equation for a line that passes through (-1,0) and is (answered by nerdybill,uday1435)

Write an equation in slope-intercept form of the line that is perpendicular to the graph... (answered by checkley71)

write an equation in slope intercept form of the line that passes through the point and... (answered by mananth)

write in point slope form equation that passes through the point 3,0 and a slope of 2/3 (answered by Alan3354,ikleyn)

Write an equation in slope-intercept form for the line that satisfies the following... (answered by josmiceli)

in slope intercept form write an equation for a line that is perpendicular to the line... (answered by solver91311)