Question

please answer both questions correctly for 7 points + i will also mark you brainliest but only if you answer both correctly.

Answer 1

                                      Question 12

Given

• Point (-1, 5)

• Slope m = -1

The slope-intercept form of the line equation

$y = mx+b$

where m is the slope and b is the y-intercept

In our case:

• Point (-1, 5)

• m = -1

substituting m = -1, and the point (-1, 5)

y = mx+b

5 = (-1)(-1) + b

5 = 1+b

b = 5-1

b = 4

Therefore, the value of y-intercept b = 4

now substituting m = -1 and b = 4 in the slope-intercept form of the line equation

y = mx+b

y = (-1)x + 4

y = -x+4

Thus, the slope-intercept of the line equation containing the point (-1, 5) and slope = -1 is:

y = -x+4

                                               Question 13

Given

• Point (3, 3)

• Slope m = 2

The slope-intercept form of the line equation

$y = mx+b$

where m is the slope and b is the y-intercept

In our case:

• Point (3, 3)

• m = 2

substituting m = 2, and the point (3, 3)

y = mx+b

3 = (2)(3) + b

3 = 6+b

b = 3-6

b = -3

Therefore, the value of y-intercept b = -3

now substituting m = 2 and b = -3 in the slope-intercept form of the line equation

y = mx+b

y = (2)x + (-3)

y = 2x-3

Thus, the slope-intercept of the line equation containing the point (3, 3) and slope = -3 is:

y = 2x-3

Therefore, option A is true.