Answer:

Step-by-step explanation:
We are asked to find the equation of a line given a point and the slope. We will use the point-slope formula.

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of this line is -4 and the line passes through (-2,5).
Substitute the values into the formula.


We are finding the equation of the line, so we should find the slope-intercept form or y=mx+b ( where m is the slope and b is the y-intercept).We must isolate the variable y on one side of the equation.
First, distribute the -4 on the right side of the equation. Multiply each term inside the parentheses by -4.


5 is being subtracted from y. The inverse operation of subtraction is addition, so we will add 5 to both sides of the equation.


The equation of the line is y= -4x -3. The slope of the line is -4 and the y-intercept is -3.
Answer:
x = 12/11, -32/11
Step-by-step explanation:
Answer:
-94
Step-by-step explanation:
Part A:
From the figure shown.
The measure of line TH = 14' 72" = 14' + 72" / 12 = 14' + 6' = 20'
Given that the measure of line HI = 20'
Thus, triangle THI is an isosceles triangle with line TI as the base.
Part B:
To find the base angles we use the Pythagoras theorem.
Recall that the perpendicuar bisector of an isosceles triangle divides the triangle into two equal right triangles.
Dividing the base into two gives 22.5' / 2 = 11.25'
Thus, the perpendicular bisector divides the isosceles triangle into two equal right triangles with base of 11.25' and hypothenus of 20'.
By pythagoras theorem,

Therefore, the base angles is 55.77 degrees.