How do you find the equation of a line with a point and a slope?

How do you find the equation of a line with a point and a slope?

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 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 equation of the line has a slope of 5 and passes through point (- 2 1?

y = 5 x + 9 this is the slope intercept form equation that represents the line through (-2,-1) with the slope of 5.

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

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

Which equation represents a line that passes through 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 ) .

Which equation shows the point slope form of the line that passes through 3 2?

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3? The equation of a linear function in point-slope form is y – y1 = m(x – x1).

What is the equation of the line that passes through the point − 6 − 5 and has a slope of − 1 2?

y = -1/2x – 8 is your final answer This can be doing by plugging in -6 for x and -5 for y because it is a point on the line.

What is the equation of the line through the origin and 5/6 )?

1 Expert Answer and, Therefore, Y=(5/6)X, through the origin, where the y-intercept is b= 0. Answer: 5X – 6Y = 0 where A=5, B = -6, and C = 0 in the Standard Form of the Straight Line (linear equation in two unknowns (X,Y).

How do u write an equation in point slope form?

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

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

The point slope formula is of the form y − y1 1 = m (x − x1 1 ) whereas the slope-intercept formula is of the form y = mx + b, where ‘m’ is the slope, ‘b’ is the y-intercept, and (x1 1 , y1 1 ) is a point on the line.

How to write an equation using the slope form?

One of the points that the line passes through has got the coordinates (3, 5). It’s possible to write an equation relating x and y using the slope formula with (x 1, y 1) = (3, 5) a n d (x 2, y 2) = (x, y) m = y 2 − y 1 x 2 − x 1

How to find the slope of a line?

Find the slope by counting the rise and run. Find the y -intercept. Find the equation of the line shown in the graph. Find the equation of the line shown in the graph. Finding an equation of a line using the slope–intercept form of the equation works well when you are given the slope and y -intercept or when you read them off a graph.

Which is the slope intercept of the equation?

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. and the equation becomes:

How to write the equation of a line?

There are various forms which we can write the equation of a line: the point-slope form, the slope-intercept form, the standard form, etc. The point slope form of the equation of a line is given by y – y1 = m (x – x1). where (x1, y1) is a point on the line and m is the slope of the line. Loading…