write the equation of the line that has a slope of 2 and passes through the point (-3,4)

Question

write the equation of the line that has a slope of 2 and passes through the point (-3,4)

Answer 1

Anytime we are given a point on a line and the slope of the line, we can use what is known as the "point-slope" form to create an equation for the line: y - y₁ = m(x - x₁) where x₁ , y₁ is a point on the line and m is the slope. Therefore we can create the following equation:

y - 4 = 2(x - - 3)

Converting this into standard slope intercept form, we find:

y - 4 = 2x + 6

y = 2x + 10