Question

WILL GIVE BRAINLST ANSWER PLSS

Answer 1

Answer:

3. b. y = ⅝x - ½

4. b. y = ⁵/2x + ½

Step-by-step explanation:

Recall: Slope-intercept form of equation is given as y = mx + b

Where, m = slope, and b = y-intercept.

To find the equation of each line, we must first find the b and m of each graph.

3. Slope of the line using two points on the line, (4, 2) and (-4, -3):

Slope = change in y/change in x = (-3 - 2)/(-4 - 4) = -5/-8 = ⅝

Slope (m) = ⅝

To find y-intercept (b), substitute m = ⅝, and (x, y) = (4, 2) into y = mx + b. Thus:

2 = ⅝(4) + b

2 = ⁵/2 + b

2 - ⁵/2 = b

b = (4 - 5)/2

b = -½

To write the equation, substitute m = ⅝ and b = -½ into y = mx + b

y = ⅝x + (-½)

y = ⅝x - ½

4. Slope of the line using two points on the line, (1, 3) and (-1, -2):

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

Slope (m) = ⁵/2

To find y-intercept (b), substitute m = ⁵/2, and (x, y) = (1, 3) into y = mx + b. Thus:

3 = ⁵/2(1) + b

3 = ⁵/2 + b

3 - ⁵/2 = b

b = ½

b = ½

To write the equation, substitute m = ⁵/2 and b = ½ into y = mx + b

y = ⁵/2x + ½