SOLUTION: 1. Find the equation of a straight line that passes through a point (–1,3) such that it is perpendicular to straight line y - 2x = 5.
2. Sketch a graph for a quadratic function
Algebra.Com
Question 178329: 1. Find the equation of a straight line that passes through a point (–1,3) such that it is perpendicular to straight line y - 2x = 5.
2. Sketch a graph for a quadratic function given as below:
f (x) = x² - x - 6
Found 2 solutions by jojo14344, stanbon:
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
1)We have to remember when 2 lines are perpendicular, the of the other one is "negative reciprocal" of the 1st :------>
Arranging Line via Slope-intercept form, :
We can see it has a , then the line that passes thru point (-1,3) has a slope:
Via Slope-intercept Form: point (-1,3)
---->, Y-Intercept
Therefore, line eqn. ----> (Standard form) passes thru point (-1,3) and perpendicular to line
we'll see:
-----> RED Line>>>> ; GREEN Line>>>>
.
2)Sketch a graph for a quadratic function given as below:
Solving the quadratic:
where
X-intercepts--------> (3,0) & (-2,0)
Thank you,
Jojo
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. Find the equation of a straight line that passes through a point (–1,3) such that it is perpendicular to straight line y - 2x = 5.
-----------
The slope of the given line is 2 because y = 2x+5
-----------------------------------
The perpendicular line must have slope = -1/2
--------------------
Intercept: 3 = (-1/2)*-1 + b; b = = 3 - 1/2 = 5/2
--------------------------
Equation: y = (-1/2)x + (5/2)
==================================
Cheers,
Stan H.
2. Sketch a graph for a quadratic function given as below:
f (x) = x² - x - 6
RELATED QUESTIONS
Find an equation of a straight line that passes through point points (3,5) and is... (answered by Fombitz)
a) Find the intersection point for equations 5x + 3y = 12 and 10x – 2y = 8.
b) Find... (answered by nant_87)
A straight line is parallel to y=-3x+2 and passes through (2,-1).
1)Find the gradient (answered by richwmiller)
A straight line passes through the point (4,3) and is perpendicular to the line joining... (answered by Alan3354)
Find the equation of the straight line, in y=mx+c
The straight line that passes through (answered by josgarithmetic)
The equation of a straight line AC is 2y=-3x+6. Given the point A(-2,6) and AB:BC = 2:5.... (answered by greenestamps)
I need help on this question:
The equation of a straight line AC is 2y = -3x + 6. Given... (answered by josgarithmetic)
A straight line L passes though the point (0, -1) and is parallel to the straight line... (answered by Alan3354,RAY100)
Find equation of a straight line that passes through (-1;2) with the slope of... (answered by josgarithmetic)