# How do you find the equation in slope-intercept form of the line with the given slope that passes through the point with the given coordinates?

## How do you find the equation in slope-intercept form of the line with the given slope that passes through the point with the given coordinates?

Steps to find the equation of a line from two points:

- Find the slope using the slope formula.
- Use the slope and one of the points to solve for the y-intercept (b).
- 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.

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

These are the two methods to finding the equation of a line when given a point and the slope: Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. Use the m given in the problem, and the b that was just solved for, to create the equation y = mx + b.

**How do you find slope-intercept form with two points and perpendicular?**

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

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

Using Points to Write Slope-Intercept Equation The first step will be to use the points to find the slope of the line. This will give you the value of m that you can plug into y = mx + b. The second step will be to find the y-intercept. Once you know m and b, you can write the equation of the line.

## How do you write equations of lines that are parallel or perpendicular to another line?

A General Note: Parallel and Perpendicular Lines f(x)=m1x+b1 and g(x)=m2x+b2 are parallel if m1=m2 f ( x ) = m 1 x + b 1 and g ( x ) = m 2 x + b 2 are parallel if m 1 = m 2 . If and only if b1=b2 b 1 = b 2 and m1=m2 m 1 = m 2 , we say the lines coincide. Coincident lines are the same line.

### How do you find slope-intercept form without slope?

If no slope is given we can let the slope = m .

- Given the point we can use the point-slope formula to write the equation for this problem. The point-slope formula states: (y−y1)=m(x−x1)
- (y−34)=m(x−−3)
- (y−34)=m(x+3)