Use the given conditions to write an equation for the line in​ point-slope form and​ slope-intercept form.

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=4​,

passing through

​(−3​,9​)

Answer 1

Point slope form is y - y1 = m(x - x1) where m is slope and (x1,y1) is a point on the line.

Givem slope = 4 and passing through (-3,9), then m = 4 and (x1,y1) = (-3,9)

so y - 9 = 4(x--3) --> y - 9 = 4(x+3)

Slope intercept form is y = mx + b, where b is y intercept

start with above equation and solve for y:

y - 9 = 4x + 12

y = 4x + 21