Write the equation if the line that passes through (4,5) and has a slope of m=3

y = 3x - 7

Step-by-step explanation:

The point-slope formula for a straight line is

y – y₁ = m(x – x₁)

x₁ = 4; y₁ = 5; m = 3     Substitute the values

y – 5 = 3(x - 4)             Remove parentheses

y – 5 = 3x - 12             Add 5 to each side

     y = 3x - 7

The graph is a straight line with a y-intercept at y = -7 and a slope = 12/4 = 3.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°