Question

Find an equation for the line with the given properties. Express the equation in? slope-intercept form. Slope? = 6 ?; containing the point left (-1,1)

Answer 1

y=6x+7

Explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.

Point slope:
`y-y_1=m(x-x_1)`

We will substitute
`m=6` and
`x_1=-1\\y_1=1`.

`y-1=6 (x-(-1))`

We can simplify and convert to slope intercept form.

`y-1=6 (x-(-1))\\y-1=6(x+1)\\y-1=6x+6\\y=6x+6+1\\y=6x+7`