Question

a line goes through the point (8,3) and has a slope m=4. Write an equation that represents that line.

Answer 1

y = 4x - 29

Explanation:

You will use the slope-intercept form y = mx + b

Your point (8, 3) will be substituted for (x, y) and 4 will be substituted for the slope(m)

y = mx + b

3 = (4)(8) + b

Simplify

3 = 32 + b; now subtract 32 from both sides to keep a balanced equation.

3 - 32 = 32 + b - 32

-29 = b

Finally, substitute your slope(m) = 4 and the y-intercept(b) = -29 back into the slope-intercept form

y = 4x - 29

Answer 2

y=4x-29

Explanation:

y-y1=m(x-x1)

y-3=4(x-8)

y=4x-32+3

y=4x-29