How do you find the y-intercept of a line with an equation?
When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x.
How do you find the slope of a line whose equation is given?
To find the slope of a line given the equation of the line, first write it in slope-intercept form. Use inverse operations to solve for y so that it is written as y=mx+b. Then you can easily see the slope since it is the coefficient of the x variable, or the number in front of x.
How do you find the equation of a line given the slope and y-intercept of the line given the slope and a point on the line given two points on the line?
How 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 the slope and y-intercept of a graph?
Steps for graphing an equation using the slope and y-intercept:
- Find the y-intercept = b of the equation y = mx + b.
- Plot the y-intercept. The point will be (0, b).
- Find the slope=m of the equation y = mx + b.
- Make a single step, using the rise and run from the slope.
- Connect those two points with your line.
What is the equation of the line that passes through the point (- 8 6 and has a slope of 1 4?
1 Expert Answer The equation of the line will be y=Ax+B where we have to identify the constants A and B. Since the slope will be 1/4 we must have A=1/4. Since we need the line to pass through the point (-8,6) we have 6=(1/4)(-8)+B which is the same as 6=-2+B or B=8. Thus, y=(1/4)x+8.
What is the equation of the line that passes through the point − 8/5 and has a slope of 0?
1 Expert Answer The equation is y = 5. Therefore y = mx + b and y = 0x + 5 or y = 5.
What is the equation of a line that passes through the point 6 6 and has a slope of 0?
1 Expert Answer A line that has a slope of zero is a horizontal line with constant y-coordinate no matter what the value of the x-coordinate, so the equation of a line that passes through (6,6) with slope of 0 is y = 6.
Which equation of the line has a slope of 5 and passes through point (- 2 1?
y = 5 x + 9 this is the slope intercept form equation that represents the line through (-2,-1) with the slope of 5.
What is the equation of the line that passes through the point − 6 − 5 and has a slope of − 1 2?
y = -1/2x – 8 is your final answer The general formula for a linear line is y=mx+b.
What is the equation of the line that passes through the point (- 3/6 and has a slope of zero?
2 Answers By Expert Tutors Since the slope is zero, the line is horizontal. Equation of horizontal line passing through the point (3,6) is y = 6.
Which of the following equations passes through (- 2 1 and with a slope of 5?
1 Answer. The point-slope equation of the line that passes through the point (2,1) and has the slope 5 , is y−1=5(x−2) .