# 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.

1. Identify the slope.
2. Identify the point.
3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
4. 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?