Respuesta :
The equation of line in standard form that pass through the point (1, -3) and (-2, -1) is (-2x/3)-y=7/3 where -2/3 is x-intercept and -1 is the y-intercept.
What does the straight line equation mean?
A straight line's equation is given by y=mx+c, where c is the height at which the line intersects the y-axis (often referred to as the y-intercept) and m is the gradient.
Why is there an equation of a line?
The set of points that make up a line in a coordinate system are represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.
we are given with;
x1=1, y1=-3
x2=-2, y2=-1
equation of line in standard form:
Ax+By=C
so using formula:
(y−y1)=(y2−y1)(x−x1)/(x2−x1)
(y−(-3))=((-1)−(-3))(x-1)/(-2−1)
(y+3)=(2)(x−1)/(-3)
(y+3)=(2x−2)/(-3)
y+3=(-2x/3)+(2/3)
y=(-2x/3)+(2/3)-3
y=(-2x+2-9)/3
y=(-2x-7)/3
(2x/3)+y=-7/3
rearranging;
(-2x/3)-y=7/3
This is our required answer.
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