Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation.

Question

Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation.

Slope=7​,

passing through

​(−4​,6​)

Answer 1

Slope m=7

point (x1,y1) = (-4,6)

Point-slope equation: (y-y1)=M(x-X1)

Plug in the information:

y-6=7(x-(-4)) =

y-6=7(x+4)

Now to convert to slope-intercept form: y=mx+b

Start with : y-6=7(x+4) and distribute the 7 to get y-6=7x+28, then solve for y by adding 6 to both sides:

y=7x+34