Question

6. Given two points on a line are (10,6) & (20,9), write a linear equation in point-slope form.

Answer 1

When the coordinates are (10,6) and (20,9) and the slope is 3/10, the linear equation is 3x-10y=-30.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." If an equation has the formula y=mx+b, with m representing the slope and b the y-intercept, it is said to be linear. Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Here,

The given points=(10,6) and (20,9)

x1=10

y1=6

m=(y2-y1)/(x2-x1)

=(9-6)(20-10)

m=3/10

(y-y1)=m(x-x1)

y-6=3/10(x-10)

10(y-6)=3(x-10)

10y-60=3x-30

3x-10y=-30

The linear equation is 3x-10y=-30 when coordinates are (10,6) and (20,9) and the slope is 3/10.

To know more about linear equation,

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