Slope-intercept form is a way to write the equation of a linear equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the slope-intercept form of a linear equation, you can use the slope and y-intercept given in the problem or you can use two points on the line.
For example, if the slope is 2 and the y-intercept is 3, the slope-intercept form of the equation would be y = 2x + 3.
You can also use two points on the line to find the slope. For example, if you are given the points (1,4) and (3,8), you can find the slope by using the formula (y2 - y1) / (x2 - x1). In this case, (8 - 4) / (3 - 1) = 4 / 2 = 2. Then, you can substitute one of the points into the slope-intercept form to find the y-intercept. For example, using the point (1,4), you can solve the equation y = mx + b for b: 4 = 2(1) + b. Simplifying this equation gives you b = 2, so the slope-intercept form of the equation is y = 2x + 2.
Overall, the slope-intercept form of a linear equation is a useful way to represent a line and make it easy to identify the slope and y-intercept.
Slope-Intercept Form Quick check
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