The slope of a line is the ratio of the change of y to the change of x. name the trigonometric ratio of theta that equals the slope of line m (picture provided)

The trigonometric ratio of theta is tangent ⇒ answer (c)

Step-by-step explanation:

* Lets revise the trigonometry functions

- sinФ = the side opposite to angle Ф ÷ the hypotenuse

- cosФ = the side adjacent to angle Ф ÷ the hypotenuse

- tanФ = the side opposite to angle Ф ÷ the side adjacent to angle Ф

* Now read the definition of the slope and look to the figure

- The slope of a line is the ratio of the change of y to the change of x

∵ The change of y is opposite to angle Ф

∵ The change of x is adjacent to angle Ф

∴ The slope = the side opposite to Ф ÷ the side adjacent to Ф

* The slope of the line = tanФ

∴ The trigonometric ratio of theta is tangent

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

step-by-step explanation: