Question

1.Write an equation in slope-intercept form.

1) (-1, 16), (-13, 6)
2) (-16, 7), (5, 1)
3) (-9, 3), (-9, 16)
4) (3, 15), (8, -3)
5) (20, 7), (-17, -10)
please i need help asap i have to submitted before the break please may god bless you

Answer 1

To write an equation in slope-intercept form, we need the slope (m) and the y-intercept (b). The equation is given by y = mx + b. Use the given points to calculate the slope and y-intercept for each pair and substitute them into the equation.

Step-by-step explanation:

In order to write an equation in slope-intercept form, we need the slope (m) and the y-intercept (b). The slope-intercept form is given by y = mx + b. Let's calculate the slope and y-intercept for each pair of points:

1) (-1, 16), (-13, 6):
Slope (m) = (6 - 16) / (-13 - (-1)) = -10 / -12 = 5/6
Y-intercept (b): We can substitute one of the points into the equation and solve for b. Let's use (-1, 16): 16 = (5/6)(-1) + b. Solving for b, we get b = 16 + 5/6 = 97/6.

Therefore, the equation is y = (5/6)x + 97/6. Follow the same process for the rest of the pairs of points to find their respective equations in slope-intercept form.