SOLUTION: Hello Friends, Help! So lost on these Slope and Linear scenarios. 1. Given the linear equation y=-3/4x-3, find the y-coordinates of the points (-8, ), (-4, ), and (4, ).

Question 1001080: Hello Friends,
Help! So lost on these Slope and Linear scenarios.
1. Given the linear equation y=-3/4x-3, find the y-coordinates of the points
(-8, ), (-4, ), and (4, ).Plot those points and graph the linear equation.
2. Given the linear equation y=-1/3x+6, find the y-coordinates of the points
(-9, ), (-3, ), and (6, ). Plot those points and graph the linear equation.

3. Write the slope-intercept equation for the line that passes through (14, -2) and is perpendicular to 7x � 10y = 18
4. Write the slope-intercept equation for the line that passes through (1, -9) and (3, -1).
Thanking you in advance
Betty

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
1. Given the linear equation , find the y-coordinates of the points
(, ), =>=>=>=>
(, ), =>=>=>=>
(, )=>=>=>=>

Plot those points and graph the linear equation.

2. Given the linear equation , find the y-coordinates of the points
(, ), =>=>=>=>
(, ),=>=>=>=>
(, )=>=>=>=>
Plot those points and graph the linear equation.

3. Write the slope-intercept equation for the line that passes through (,) and is perpendicular to
the slope-intercept form of the given equation

Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line

Remember, any two perpendicular lines are negative reciprocals of each other. So if you're given the slope of , you can find the perpendicular slope by this formula:

where is the perpendicular slope

So plug in the given slope to find the perpendicular slope

When you divide fractions, you multiply the first fraction (which is really ) by the reciprocal of the second

Multiply the fractions.

So the perpendicular slope is

So now we know the slope of the unknown line is (its the negative reciprocal of from the line ). Also since the unknown line goes through (14,-2), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

where m is the slope and (,) is the given point

Plug in , , and

Distribute

Multiply

Subtract from both sides to isolate y

Make into equivalent fractions with equal denominators

Combine the fractions

Reduce any fractions

So the equation of the line that is perpendicular to and goes through (,) is

So here are the graphs of the equations and

graph of the given equation (red) and graph of the line (green) that is perpendicular to the given graph and goes through (,)

4. Write the slope-intercept equation for the line that passes through (, ) and (, ).

Solved by pluggable solver: Find the equation of line going through points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (1, -9) and (x2, y2) = (3, -1).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(4)x + (-13)

Your graph:

your equation is:

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