How do you write an equation in standard form using slope and y-intercept?
The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept.
What is the equation of a line with a y-intercept of − 3 and a slope of 5?
y=3x+5.
What is the equation of a line with a y-intercept of − 5 and a slope of 8?
2 Answers. y=5x−8 is the equation of the line.
What is the equation of the line with a y-intercept of 3 and a slope of 2?
y = mx + c
Slope = 2 and y – intercept = 3 , then the equation of line is y = mx + c .
How do u write an equation in slope-intercept form?
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 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 M 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.
How do you Find X and y intercepts in standard form?
For the equation of a line in the standard form, A x + B y = C where A ≠ 0 and B ≠ 0 , you can use the formulas below to find the x and y-intercepts. When is standard form useful?
How do you find the y-intercept of a graph?
How to find the y-intercept: Plot the x and y-intercepts and draw the line on the graph paper! on the right are in standard form. Equation 2 and equation 4 are the only ones in standard form. Equation 3 is in Slope intercept form . on the right are in standard form. Equation 1 and equation 4 are the only ones in standard form.
What is the graph of the linear equation y = mx + c?
The graph of the linear equation y = mx + c is a line with m as slope, m and c as y-intercept. This form of the linear equation is called slope-intercept form. The values of m and c are real numbers. The slope, m, represents the steepness of a line. The slope of the line is also termed as gradient, sometimes.
How do you graph slope intercept form?
When we plot the graph for slope intercept form equation we get a straight line. Slope-intercept is the best form. Since, it is in the form “y=”, hence it is easy to graph it or solve word problems based on it. We just have to put the x-values and the equation is solved for y.