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.

How do you find the y-intercept of a line given two points?

Steps

1. Calculate the slope from 2 points. For Example, Two points are (3, 5) and (6, 11)
2. Substitute the slope(m) in the slope-intercept form of the equation.
3. Substitute either point into the equation. You can use either (3,5) or(6,11).
4. Solve for b, which is the y-intercept of the line.
5. Substitute b, into the equation.

What is the equation of a line in general form with a point (- 3 0 and an undefined slope?

The equation of a line, in general form, with a point (-3, 0) and an undefined slope is x + 3 = 0.

What is the formula in solving the slope of a line if two points are given?

We’ve shown that m=y2−y1x2−x1 m = y 2 − y 1 x 2 − x 1 is really another version of m=riserun m = rise run . We can use this formula to find the slope of a line when we have two points on the line.

What is the equation of a line that passes through the points 1/3 and − 2 5 )?

y = 2x + 1 this is slope-intercept form. 2x – y = -1 this is standard form.

What is the coefficient of X in slope intercept form?

The coefficient of x will be the slope. You have the equation of a line, 6x – 2y = 12, and you need to find the slope. This is slope intercept form, y = 3x – 6.

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

Multiply (−2 5)(0) ( – 2 5) ( 0). Tap for more steps… Multiply 0 0 by −1 – 1. Multiply 0 0 by 2 5 2 5. Add 0 0 and b b. Now that the values of m m ( slope) and b b ( y-intercept) are known, substitute them into y = mx+b y = m x + b to find the equation of the line.

What is the y-intercept of a line?

The y-intercept of a line is the value of y when x=0. It is the point where the line crosses the y axis. Using the equation y = 3x – 6, set x=0 to find the y-intercept. The x-intercept of a line is the value of x when y=0. It is the point where the line crosses the x axis.

What is the slope of y = 3x – 6?

The coefficient of x will be the slope. You have the equation of a line, 6x – 2y = 12, and you need to find the slope. This is slope intercept form, y = 3x – 6. Slope is the coefficient of x so in this case slope = 3