Write an equation in standard form of the line that passes through the given point and has the given slope m.
(4,3), m= 7
I got 7x-y=25
looks good to me
thanks
To find the equation of a line in standard form, you need the slope-intercept form equation (y = mx + b) and rearrange it to standard form (Ax + By = C).
Given the point (4,3) and the slope m = 7, we can use the point-slope form of a line equation:
y - y1 = m(x - x1)
Substituting the values of the point (4,3) and slope m = 7, we get:
y - 3 = 7(x - 4)
Simplifying further:
y - 3 = 7x - 28
Moving the variables to one side:
7x - y = 28 - 3
Rearranging the equation to standard form:
7x - y = 25
Therefore, the equation of the line in standard form that passes through the point (4,3) with a slope of 7 is 7x - y = 25.