To find the y-intercept of a line with a given slope and a point it passes through, you can use the slope-intercept form of a line, which is (y = mx + b), where (m) is the slope and (b) is the y-intercept. Substitute the coordinates of the given point and the slope into the equation to solve for (b). Rearranging the equation will yield the value of the y-intercept. Without specific numerical values for the slope and point, I can't provide a numerical answer, but this is the method to find it.
Converting from point-slope to slope-intercept form is helpful when you want to easily identify the y-intercept of a linear equation, making it simpler to graph the line. Slope-intercept form ((y = mx + b)) clearly shows the slope ((m)) and the y-intercept ((b)), facilitating quick analysis and comparisons with other lines. This conversion is particularly useful in applications involving linear models or when analyzing intersections with other lines.
When it is a line through the origin.
Slope: -13 Point: (5, 7) Equation: y = -13x+72 whereas -13 is the slope and 72 is the y intercept
To find the equation of a line with a slope of 2 that passes through the point (0, 3), you can use the slope-intercept form of a line, which is ( y = mx + b ). Here, ( m ) is the slope and ( b ) is the y-intercept. Since the point (0, 3) indicates that the y-intercept ( b ) is 3, the equation of the line is ( y = 2x + 3 ).
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
To find the y-intercept of a line with a given slope and a point it passes through, you can use the slope-intercept form of a line, which is (y = mx + b), where (m) is the slope and (b) is the y-intercept. Substitute the coordinates of the given point and the slope into the equation to solve for (b). Rearranging the equation will yield the value of the y-intercept. Without specific numerical values for the slope and point, I can't provide a numerical answer, but this is the method to find it.
Converting from point-slope to slope-intercept form is helpful when you want to easily identify the y-intercept of a linear equation, making it simpler to graph the line. Slope-intercept form ((y = mx + b)) clearly shows the slope ((m)) and the y-intercept ((b)), facilitating quick analysis and comparisons with other lines. This conversion is particularly useful in applications involving linear models or when analyzing intersections with other lines.
It means the point at which the straight line cuts through the y axis.
7
no it is different
Point slope? y=mx+b M being the slope, and b being the y-intercept.
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4
It is: y = 6x+18 whereas 6 is the slope and 18 is the y intercept
When it is a line through the origin.
Slope: -13 Point: (5, 7) Equation: y = -13x+72 whereas -13 is the slope and 72 is the y intercept
Slope: -13 Point: (5, 7) Equation: y = -13x+72 whereas -13 is the slope and 72 is the y intercept