If you know the slope of the line and where it crosses the y axis, how do you find the equation for the line?

Question

This question is being asked for more mathematical terms like Algebra II

Answer 1

Dear any straight line can be expressed by the equation

, Y= mx+b

where,
, m is its slope of line

, b is the intersection with Y-axis

So Let
the slope is -------------> m
the y-intercept is ----------> b

Then the equation of the straight line is
, Y = mX + b

Answer 2

.

Here are the some of the ways an equation of a line can be determined using particular sets of information:

(i) 2 Point form:

Let the 2 points be P (a,b) and Q (c,d). Then, the equation is given by:

(y - b)/(d - b) = (x - a)/(c - a)

(ii) Point - Slope form:

Let the slope be m (= tanθ, if you know the angle of the slope, θ) and the point be P (a,b)

y - b = m (x - a)

(iii) Intercept form:

Let the x intercept be 'a' and the y intercept be 'b'

x/a + y/b = 1

(iv) Slope Intercept form:

* If the y intercept is known:
Let the y intercept be 'b' and the slope be m

y - b = m(x - 0)
y = mx + b

* If the x intercept is known:
Let the x intercept be 'a' and the slope be m

y = m(x - a)

.

Answer 3

y=m(x) + b

m is the slope and b is the y intercept for example if the slope is 2 and the line crosses the y axis at 1 then the equation is
y=2x + 1

Answer 4

If the slope of the line is m and the point at which the line crosses the y-axis is (0,q), then the equation is
y-q = m x.

Answer 5

I see that they have already given you one of the standard formats:

y = mx + c
where m is the slope and c is the intercept (using b or any other letter is also OK)

In fact, the tradition is to use the first letters of the alphabet (a, b, c...) to represent fixed values, the last letters for variables (...v, w, x, y, z) and the middle letter for functions or special meaning (for example, in this straight-line equation, m is the ratio of the change in y over the change in x). But it is not a law.

from the form y = mx + c, you can easily change to other standard forms used in algebra, for example:

mx - y = c

mx - y + c = 0

Answer 6

A line has the form y = a + bx where a is the y intercept

the slope of the line is given by S = -b/a therefore if you know S and a you can solve for b and there you have the equation for the line.

Answer 7

gradient is the slope,m defined as : difference in y over difference in x and the shift / y-intercept / point crossing the y-axis,b

the equation becomes :

y = mx + b

m is also known as the scale
b is also known as the bias and y-intercept

Answer 8

The slope is m, and the y-intercept is b:

y = mx + b

Answer 9

y=mx+b ... m for the slope.. b for the y axis

Answer 10

(Y-Y1)=M(X-X1)
where (X1,Y1) is the point on line and M is the slope.
so if the line crosses y axis so point you have (0,Y1)
so the equation will be
(Y-Y1)=M(X-0)
(Y-Y1)=MX