Find an equation in standard form of the line passing through (- 3, - 1) with slope 3.

Find an equation in standard form of the line passing through (- 3, - 1) with slope 3.

Question
Linear equations and graphs
asked 2021-02-12
Find an equation in standard form of the line passing through (- 3, - 1) with slope 3.

Answers (1)

2021-02-13
Use the point-slope form of a line: y−y1​=m(x−x1)
Substitute \(\displaystyle{m}=\frac{{3}}{{2}}\) and (x1,y1)=(−3,−1): \(\displaystyle{y}-{\left(-{1}\right)}=\frac{{3}}{{2}}{\left({x}-{\left(-{3}\right)}\right)}\)
\(\displaystyle{y}+{1}=\frac{{3}}{{2}}{x}+\frac{{9}}{{2}}\)
The standard form of a line is Ax+By=C. Multiply both sides by 2:
PSK2y+2=3x+9
Rearranging,
−7=3x−2y
or
3x−2y=−7
0

Relevant Questions

asked 2021-06-02
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through (3,-1) and perpendicular to the line whose equation is x-9y-5=0
Write an equation for the line in point-slope form and slope-intercept form.
asked 2021-05-27
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through (-2,-8) and parallel to the line whose equation is y=-3x+4
Write an equation for the line in point-slope form and slope-intercept form.
asked 2021-05-14
For the equation (-1,2), \(y= \frac{1}{2}x - 3\), write an equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
asked 2021-04-14
Find parametric equations for the curve with the given properties.
The line with slope \(\displaystyle{\frac{{{1}}}{{{2}}}}\), passing through (4,-1)
asked 2021-03-29
Find parametric equations for the curve with the given properties.
The line with slope -2, passing through (-10,-20)
asked 2021-05-16
Consider the curves in the first quadrant that have equationsy=Aexp(7x), where A is a positive constant. Different valuesof A give different curves. The curves form a family,F. Let P=(6,6). Let C be the number of the family Fthat goes through P.
A. Let y=f(x) be the equation of C. Find f(x).
B. Find the slope at P of the tangent to C.
C. A curve D is a perpendicular to C at P. What is the slope of thetangent to D at the point P?
D. Give a formula g(y) for the slope at (x,y) of the member of Fthat goes through (x,y). The formula should not involve A orx.
E. A curve which at each of its points is perpendicular to themember of the family F that goes through that point is called anorthogonal trajectory of F. Each orthogonal trajectory to Fsatisfies the differential equation dy/dx = -1/g(y), where g(y) isthe answer to part D.
Find a function of h(y) such that x=h(y) is the equation of theorthogonal trajectory to F that passes through the point P.
asked 2020-10-28
Find the Equation in Standard form of the line with Slope 5 and V-interrens .....,. - 4
asked 2020-11-20
A line passes through the point (2, 1) and has a slope of \(\frac{-3}{5}\).
What is an equation of the line?
A.\(y-1=\frac{-3}{5}(x-2)\)
B.\(y-1=\frac{-5}{3}(x-2)\)
C.\(y-2=\frac{-3}{5}(x-1)\)
D.\(y-2=\frac{-5}{3}(x-1)\)
asked 2021-02-18
A given polynomial has a root of x = 3, an zero of x = -2, and an x-intercept of x = -1.
The equation of this polynomial in factored form would be f(x) =
The equation of this polynomial in standard form would be f(x) =
asked 2021-01-15
Find the value of r so the line that passes through each pair of points has the given slope. (r, -5), (3, 13), m = 8
...