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.