Find the equation of a line parallel tominus, 3, x, plus, y, equals, minus, 5−3x+y=−5that passes through the point left bracket, minus, 7, comma, 7, right bracket(−7,7).
Question
Find the equation of a line parallel tominus, 3, x, plus, y, equals, minus, 5−3x+y=−5that passes through the point left bracket, minus, 7, comma, 7, right bracket(−7,7).
Solution
The equation of a line in the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The given line is -3x + y = -5. We can rewrite this in slope-intercept form by isolating y:
y = 3x - 5
The slope of this line is 3. Since parallel lines have the same slope, the line we're looking for also has a slope of 3.
Now we know that the equation of the line we're looking for is of the form y = 3x + b. We can find b by substituting the coordinates of the given point into this equation:
7 = 3*(-7) + b 7 = -21 + b b = 7 + 21 b = 28
So, the equation of the line parallel to -3x + y = -5 that passes through the point (-7,7) is y = 3x + 28.
Similar Questions
Find the equation of a line perpendicular to5, x, plus, y, equals, minus, 75x+y=−7that passes through the point left bracket, 5, comma, minus, 4, right bracket(5,−4).
What is an equation of the line that passes through the point left bracket, minus, 6, comma, 3, right bracket(−6,3) and is perpendicular to the line 6, x, minus, 5, y, equals, 56x−5y=5?Answer
Find an equation for the line that passes through the point (x, y) = (5, −7) andhas slope −3.
Write the equation of the line in point-slope form that passes through the point (-5, 7) and has a slope =
Find the equation of the line that passes through the point (5, -7) and has slope 35. Simplify your equation to the following form.𝑦=35𝑥+____What is the missing value in the equation above?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.