Why is the equation y-y1=m(x-x1) called the point-slope form?

The equation of the line with slope m = 2 and passing through the point (1, 1) will be:

Step-by-step explanation:

We know that the point-slope form of the line equation is

where

The formula is termed as the point-slope form of the line equation because if we know one point on a certain line and the slope of that line, then we can easily get the line equation with this formula and, hence, determine all other points on the line.

For example, if we are given the point (1, 1) and slope m = 2

Then substituting the values m = 2 and the point (1, 2)

Therefore, the equation of the line with slope m = 2 and passing through the point (1, 1) will be:

kayla would of sent 8

step-by-step explanation:

b: y = 2x + 2

step-by-step explanation:

y = 2x + 1

we want a line that is parallel, so it will have the same slope

the line is in the form y= mx+b, so the slope is 2

we have a slope and the y intercept (0,2)

since x is 0 we know the y point which is the y intercept

we can use y= mx+b to write the equation of the line

m is the slope and b is the y intercept

y = 2x +2