y - 9 = 10(x - 2)
or y = 10x - 11
That will depend on the value of the slope which has not been given.
You can have infinitely many lines through one specific point, each with a different equation. If you want to have a general equation for ANY line that goes through that point, use the point-slope equation for a line, and use a variable for the slope.
When it is a line through the origin.
Given a point P = (a,b) and slope m, the equation of a line through P with slope m is (y-b) = m(x-a)
write an equation that has a slope 7 and passes through the point (2,17)
That will depend on the value of the slope which has not been given.
You can have infinitely many lines through one specific point, each with a different equation. If you want to have a general equation for ANY line that goes through that point, use the point-slope equation for a line, and use a variable for the slope.
If you mean a slope of -10 through the point (1, 4) then the equation is y = -10x+14
If you mean a slope of -12 through the point (5, 3) the equation is y = -12x+63
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
When it is a line through the origin.
Given a point P = (a,b) and slope m, the equation of a line through P with slope m is (y-b) = m(x-a)
If you mean slope of -10 and point of (1, 4) then the equation is y = -10x+14
If you mean: slope of -13 and point of (5, 7) then the equation is y = -13x+72
write an equation that has a slope 7 and passes through the point (2,17)
The point slope equation is (y - 9) = 5*(x - 4)
It is: y = -10x+14