# How do you write an equation in slope-intercept form for the line that satisfies each set of conditions?

## How do you write an equation in slope-intercept form for the line that satisfies each set of conditions?

y = mx + b. Substitute m = and b = in the equation y = mx + b. y = mx + b.

**What is the slope of the equation y 5 3x?**

Using the slope-intercept form, the slope is −3 .

**How do you find the B in Y MX B?**

In the equation y = mx + b for a straight line, the number m is called the slope of the line. Let x = 0, then y = m • 0 + b, so y = b. The number b is the coordinate on the y-axis where the graph crosses the y-axis. What is the coordinate on the y-axis where the graph of y = 2x + 3 crosses y-axis?

### How will you find the equation of a line?

To find an equation of a line given the slope and a point.

- Identify the slope.
- Identify the point.
- Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
- Write the equation in slope-intercept form.

**How do you find an equation for the line whose graph is sketched?**

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x. Find two points on the line and draw a slope triangle connecting the two points.

**How do you write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation?**

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.

#### What is the slope of the line y =- 5 3x 3?

Using the slope-intercept form, the slope is 53 . All lines that are parallel to y=5×3+3 y = 5 x 3 + 3 have the same slope of 53 .

**What is the slope of the equation y 5 4x 7 4?**

Algebra Examples Combine 54 5 4 and x x . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 54 .

**How do you find B in point slope form?**

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.

## 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.

**How do you write an equation given the slope and a point?**