ALGEBRA ASAP HELP

Question

Write the equation of the line, given the y- and x-intercepts: x-intercept = -3, y-intercept = 2

Answer 1

The intercepts give two sets of points for your use

(0,2) coordinates of the y intercept

(-3,0) coordinates of the x intercept

Use these two points to calculate the slope m

m = (y₂ - y₁)/(x₂ - x₁)

m = (0 - 2)/(-3 - 0) = -2/-3 = 2/3

Use the Slope Intercept Form and one of the points to solve for b

y = mx + b

y = 2/3x + b

0 = (2/3)*(-3) + b

0 = -2 + b

Add 2 to both sides to solve for b

2 = b

Just plug in the values for m and b in the Slope Intercept Form

y = 2/3x + 2

You can graph this line to check it against the x and y intercepts at Desmos.com

Answer 2

y-intercept = (0,-3)

x-intercept = (2,0)

Now utilize the slope formula: y₂-y₁ / x₂ -x₁ = -3-0 / 0-2 = -3/-2 = 3/2 (this is our slope (m))

Now we are going to use point-slope of a line: y-y₁ = m (x-x₁)

Now we plug in what we now into the formula: y- (-3) = 3/2 (x-2) --> y+3 = 3/2x - 3 --> y = 3/2x-6