How do you write an equation in slope-intercept form with the slope?

How do you write an equation in slope-intercept form with the slope?

The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It’s usually easy to graph a line using y=mx+b.

How do you write 2 in slope-intercept form?

Explanation:

1. x−y=2.
2. A straight line in slope-intercept form is: y=mx+c. Where m is the slope of the iine and c is the y− intercept.
3. y=x−2.
4. Which is the equation in slope-intercept form; where m=1andc=−2 as can be seen on the graph below.

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.

How do you write an equation in slope-intercept form from a word problem?

When a word problem involves a constant rate or speed and a beginning amount, it can be written in slope-intercept form: y=mx+b. To do this, recognize which number will represent m, the rate, and which number will represent b, the y-intercept.

How do you write an equation of a line in slope-intercept form with the given slope and y-intercept?

Write an equation of a line in slope-intercept form with the given slope and y-intercept. SOLUTION: The slope-intercept form of a line is y = mx + b, where m is the slope, and b is the y-intercept. SOLUTION: The slope-intercept form of a line is y = mx + b, where m is the slope, and b is the y-intercept.

How do you write an equation in slope-intercept form with the slope and y-intercept?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

What is the equation in point-slope form of the line that passes through the point 1 24 and has a slope of?

y – y1 = m(x-x1) That is the equation of the line in point-slope form.

What is the slope-intercept form of XY =- 2?

Algebra Examples The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Rewrite in slope-intercept form. Subtract x x from both sides of the equation. Multiply each term in −y=2−x – y = 2 – x by −1 – 1 .

Which is the correct equation for the slope of a line?

Remember that in the slope-intercept form of an equation, y = mx + b, m = slope and b = the y -value of the y -intercept. The correct choice is y = −2 x + 8. Incorrect. Remember that in the slope-intercept form of an equation, y = mx + b, b = the y -value (not the x -value!) of the y -intercept.

Can you write the equation of a line?

The correct choice is y = −2 x + 8. Using slope-intercept form to help write the equation of a line is possible when you know both the slope (m) and the y-intercept (b), but what if you know the slope and just any point on the line, not specifically the y-intercept? Can you still write the equation?

How can you tell the y intercept of a graph?

Consider the equation . You can tell from this equation that the y-intercept is at (0, −1). Start by plotting that point, (0, −1), on a graph. You can also tell from the equation that the slope of this line is −3. So start at (0, −1) and count up 3 and over −1 (1 unit in the negative direction, left) and plot a second point.

Which is the form of a linear equation?

A linear equation can be expressed in the form. In this equation, x and y are coordinates of a point, m is the slope, and b is the y-coordinate of the y-intercept. Because this equation describes a line in terms of its slope and its y-intercept, this equation is called the slope-intercept form.