Question
what if the slope-intercept form is y=2x+1
Answers
Answered by
GPT 3.5
If the equation is in slope-intercept form y = mx + b, where m represents the slope of the line and b represents the y-intercept, then the given equation y = 2x + 1 means that the slope is 2 and the y-intercept is 1.
This means that the line represented by the equation has a slope of 2, which indicates that for every increase of 1 in the x-coordinate, the y-coordinate increases by 2. The line is also intersecting the y-axis at the point (0, 1), which means that the value of y is 1 when x is 0.
Graphically, this line would be a diagonal line passing through the point (0, 1) and having a steepness of 2 units. It would slope upward from left to right.
The slope-intercept form of the equation (y = 2x + 1) is helpful in determining the slope and the y-intercept of a line and representing the line in a concise and convenient form.
This means that the line represented by the equation has a slope of 2, which indicates that for every increase of 1 in the x-coordinate, the y-coordinate increases by 2. The line is also intersecting the y-axis at the point (0, 1), which means that the value of y is 1 when x is 0.
Graphically, this line would be a diagonal line passing through the point (0, 1) and having a steepness of 2 units. It would slope upward from left to right.
The slope-intercept form of the equation (y = 2x + 1) is helpful in determining the slope and the y-intercept of a line and representing the line in a concise and convenient form.