Question

Find the equation of the line in slope intercept form that passes through the following points with a given slope. Simplify your answer. Point (-2, 10) slope = -3/2

Answer 1

Given:

a.) The line pass through the given point (-2, 10).

b.) Slope of the line: -3/2

Step 1: Let's determine the y-intercept (b). Substitute m = -3/2 and x, y = -2, 10 in y = mx + b.

`\text{ y = mx + b}`
`\text{ 10 = (-}(3)/(2))(-2)\text{ + b}`
`\text{ 10 = 3 + b}`
`\text{ b = 10 - 3}`
`\text{ b = 7}`

Step 2: Let's complete the question. Substitute m = -3/2 and b = 7 in y = mx + b.

`\text{ y = mx + b}`
`\text{ y = (-}(3)/(2))\text{x + (7)}`
`\text{ y = -}(3)/(2)\text{x + 7}`

Therefore, the equation of the line is y = -3x/2 + 7