How do you find the equation of a line in point slope form?

These are the two methods to finding the equation of a line when given a point and the slope:

1. Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b.
2. Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.

Which is an equation of the line with slope 3 and passes through 2 1 )?

y -y1 =m(x-x1) m=3 x1=-2 y1=1 y-1=3(x- -2) y – 1 = 3(x+2) since you want point slope form, do not simplify past that.

What is the equation of the line if it has a slope of 3 and a point (- 3 3 )?

The answer is y=3x−12 .

Which equation represents the line that passes through (- 6 7 and (- 3 6 )?

The slope of a line joining the two points is y2-y1 / x2-x1 which in this case is 6-7 / -3 – -6) = – 1/3. The slope-intercept form of a line is y =mx +b where m is the slope and b in the y intercept.

Which is an equation of the line with slope and passes through 2 1?

The point-slope equation of the line that passes through the point (2,1) and has the slope 5 , is y−1=5(x−2) . The generic equation for point-slope form is y−y1=m(x−x1) , where m is the slope and x1 and y1 are the given point.

What is the equation of the line that passes through the point (- 4 2 and has a slope of?

y = 1/2 x + 4 Final answer! We have the point ( -4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2.

What are the 3 slope formulas?

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

Which equation represents a line that passes through the points 6 3 and (- 4 9?

The equation which represents the line that passes through the points (6, -3) and (-4, -9) is y + 3 = 3/5(x – 6).

Which equation represents a line that passes through 2 and has a slope of 3?

Which equation represents a line that passes through (2, -1/2) and has a slope of 3? Summary: The equation of a line that passes through (2, -1/2) and has a slope of 3 is (y+1/2)=3(x−2) ( y + 1 / 2 ) = 3 ( x − 2 ) .

How do you find the equation of a point?

How to Find the Equation of a Line from Two Points

1. Find the slope using the slope formula.
2. Use the slope and one of the points to solve for the y-intercept (b).
3. Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

What is point-slope form?

Point-slope form is a form of a linear equation, where there are three characteristic numbers – two coordinates of a point on the line, and the slope of the line. The point slope form equation is:

What is the point slope equation of a straight line?

Point-Slope Equation of a Line Point-Slope Equation of a Line The “point-slope” form of the equation of a straight line is: y − y 1 = m (x − x 1)

How do you find the slope intercept form of an equation?

The slope intercept form for the equation of any straight line is given by: What is the formula to calculate slope intercept form? The slope m of the line through any two points (x 1, y 1) and (x 2, y 2) is given by: The y-intercept b of the line is the value of y at the point where the line crosses the y axis.

What is the slope of y=mx+b?

The slope is undefined! What About y = mx + b? You may already be familiar with the ” y=mx+b ” form (called the slope-intercept form of the equation of a line). It is the same equation, in a different form! The “b” value (called the y-intercept) is where the line crosses the y-axis.