Question

Need help I don’t know how to do it

Answer 1

Step-by-step explanation:

the easiest way (at least for me) is to stay with the point-slope form and then transform it to get the slope-intercept form.

the general slope-intercept form is

y = ax + b

a being the slope, and b the y-intercept (the y-value when x = 0).

the general point-slope form is

y - y1 = a(x - x1)

a is again the slope, and (x1, y1) is a point on the line.

so,

1.

y - 1 = 2(x - 4)

y = 2(x - 4) + 1 = 2x - 8 + 1 = 2x - 7

y = 2x - 7

2.

y - 4 = 1/2 × (x - 2)

y = 1/2 × (x - 2) + 4 = x/2 - 1 + 4 = x/2 + 3

y = 1/2 × x + 3 or x/2 + 3

3.

y - 0 = 2/3 × (x - -6)

y = 2/3 × x + 4 or 2x/3 + 4

4.

y - -1 = -3/4 × (x - -8)

y + 1 = -3/4 × x - 6

y = -3/4 × x - 7 or -3x/4 - 7

5.

y - -3 = -1×(x - 4)

y + 3 = -x + 4

y = -x + 1

6.

y - -9 = 4(x - 0)

y + 9 = 4x

y = 4x - 9