Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3,6).

Step-by-step explanation:

We want to write an equation in slope-intercept form that passes through the points (2, 4) and (3, 6).

So, we will first find the slope. Let (2, 4) be (x₁, y₁) an let (3, 6) be (x₂, y₂).

The slope formula is given by:

So, by substitution, our slope is:

Now, we can use the point-slope form:

By substitution:

Distribute:

Adding 4 to both sides yields:

And we have our equation.

In this case, the y-intercept is 0.

step-by-step explanation:

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.