Question

Write the equation of a line in slope-intercept form that has a slope of 3/4 and passes through the point (-4, 1).

y equals 0.75 x plus 4


y equals 4 x plus 0.75


y equals minus 4 x plus 1


y equals 0.75 x plus 1

Answer 1

y = 3/4 x + 4

y equals 0.75 x plus 4

Explanation:

y = 3/4 x + b

1 = 3/4 (-4) + b

1 = -3 + b

b = 4

Answer 2

• A) y equals 0.75 x plus 4

Explanation:

Another way to solve this to use the point-slope form:

• y - y₁ = m(x - x₁)

Substitute the values of m, x₁, y₁ and convert this into slope-intercept form:

• y - 1 = 3/4(x - (-4))
• y - 1 = 3/4x + 3
• y = 3/4x + 4
• y = 0.75x + 4

Correct choice is A