What are the measures of Angles a, b, and c? Show your work and explain your answers. (10 points) Two straight lines intersect at a point to form angle a. The measure of the angle opposite to angle a is 35 degrees. Angle a is the angle of a right triangle having another angle equal to b. A triangle with one angle labeled c is on the left of the figure. The angle adjacent to c is labeled 70 degrees.

3. y = -3x + 2

4. y = 3x - 5

Step-by-step explanation:

Slope-intercept form equation is given as y = mx + b.

3. First, using two points on the line, (0, 2) and (1, -1), find the slope (m).

Slope (m) = change in y / change in x = (-1 - 2)/(1 - 0) = -3/1

m = -3

Find the y-intercept (b):

The y-intercept (b) = 2 (this is where the line intercepts the y-axis)

b = 2

✅To write the equation, substitute m = -3 and b = 2 into y = mx + b

Thus:

y = -3x + 2

4. Using two points on the line, (2, 1) and (0, -5), find the slope (m).

Slope (m) = change in y / change in x = (-5 - 1)/(0 - 2) = -6/-2 = 3

m = 3

Find the y-intercept (b):

The y-intercept (b) = -5 (this is where the line intercepts the y-axis)

b = -5

✅To write the equation, substitute m = 3 and b = -5 into y = mx + b

Thus:

y = 3x + (-5)

y = 3x - 5