Question

Find the slope-intercept form of the line with slope 6 that passes through the point (3,5).

Answer 1

y=6x-13

Explanation:

Since we are given a point and a slope, we can use the slope intercept formula.

`y-y_(1) = m(x-x_(1) )`

where (x1, y1) is a point and m is the slope.

We know that the slope is 6 and the point is (3,5). Therefore,

x1= 3

y1= 5

m=6

Substitute these into the formula.

`y-5 = 6(x-3 )`

Distribute the 6. Multiply each term inside the parentheses by the number outside the parentheses.

`y-5= (6*x) + (6*-3)`

`y-5=6x-18`

We want to find the slope-intercept form, or y=mx+b. Therefore, we must get y by itself.

5 is being subtracted from y. The inverse of subtraction is addition. Add 5 to both sides.

`y-5+5=6x-18+5`

`y= 6x-18+5`

`y= 6x -13`