The slope is our m-value. Algebra 1 Slope-Intercept Form. Go to Topic. Explanations 3. Zora Gilbert. Made using Desmos. Finding the Slope First, we'll have to find the slope m. What is the slope in this graph? Show Solution Check. Related Lessons. Find Slope and y-Intercept from Equation - Process.
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To determine m, we apply a formula based on the calculations. Let's derive this formula using the equation for the slope of a line. Let us consider a line whose slope is 'm' and whose y-intercept is 'b'. Let x,y be any other random point on the line whose coordinates are not known. We obtain the graph as follows.
To find the y-intercept, substitute the value of 'x' as 0 in the equation and solve for 'y'. The slope value can be positive or negative. Here, 'm' gives the slope and 'b' gives the y-intercept of the equation. Express the given linear equation in slope-intercept form and identify the slope and y -intercept.
Graph the line given the slope and the y -intercept. Graph using the slope and y -intercept. Name three methods for graphing lines. Discuss the pros and cons of each method. Choose a linear equation and graph it three different ways.
Scan the work and share it on the discussion board. Why do we use the letter m for slope? How are equivalent fractions useful when working with slopes? Can we graph a line knowing only its slope? What strategies for graphing lines should be brought to an exam?
Help Creative Commons. Creative Commons supports free culture from music to education. Their licenses helped make this book available to you. Help a Public School. Previous Section. Table of Contents. Next Section. Graph a line using the slope and y -intercept. Slope The steepness of any incline can be measured as the ratio of the vertical change to the horizontal change.
Video Solution click to see video. Slope-Intercept Form of a Line To this point, we have learned how to graph lines by plotting points and by using the x - and y -intercepts. Key Takeaways Slope measures the steepness of a line as rise over run.
A positive rise denotes a vertical change up, and a negative rise denotes a vertical change down. A positive run denotes a horizontal change right, and a negative run denotes a horizontal change left. Horizontal lines have a slope of zero, and vertical lines have undefined slopes. If we know the y -intercept and slope of a line, then we can easily graph it.
First, plot the y -intercept, and from this point use the slope as rise over run to mark another point on the line. Finally, draw a line through these two points with a straightedge and add an arrow on either end to indicate that it extends indefinitely. We can obtain as many points on the line as we wish by marking off the slope multiple times.
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