Question

How do you write an equation of a line given Point: (7, 4); Slope: 6?

Answer 1

keep the formula of a straight line in mind.
`Y = mX + c`
in this question you are given `m` which is your "slope" or also known as gradient.
so `m = 6`

then you are given a point, which we can insert into the equation for the straight line, and then solve for `c`
the point given is `(7,4)` which means `X=7` and `Y=4`
putting that into our formula, we get.

`4 = 6(7) + c`

now solve for `c`

`4 = 42 + c`
`-38 = c`

thus we get `c = -38`

bring our values for `m` and `c` into our formula and we end up with the equation of.

`Y = 6X - 38`

graph{6x - 38 [-2.96, 17.04, -1.33, 8.67]}