SOLUTION: Find the equation of line point-sloope and slope-intercept form that meet the following conditions. 1. The line passes through the points (-3,-1) and (3,5) 2. The line passes

Question 665989: Find the equation of line point-sloope and slope-intercept form that meet the following conditions.
1. The line passes through the points (-3,-1) and (3,5)
2. The line passes through the point (3,7) and is parellel to the line x + 4y = 12.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
1.The line passes through the points (-3,-1) and (3,5)

Solved by pluggable solver: FIND EQUATION of straight line given 2 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) = (-3, -1) and (x2, y2) = (3, 5).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(1)x + (2)

Your graph:

2. The line passes through the point (3,7) and is parellel to the line .

....write in form

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

Since any two parallel lines have the same slope we know the slope of the unknown line is (its from the slope of which is also ). Also since the unknown line goes through (3,7), 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

Add to 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 parallel 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 parallel to the given graph and goes through (,)

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