Question

Find the equation of the line that has a slope of 1 and passes through the point (-3,7) write the equation in point-slope form

Answer 1

y - 7 = 1(x + 3)

Explanation:

Point-Slope Form:
`y-y_1=m(x-x_1)`

`{\large \textsf{where}\ m\ \textsf{is the slope}}\ \textsf{and}\ {\large{(x_1,y_1)\ \textsf{is the given coordinate.}}`

Given info:

A line with a slope of 1 and passes through the point (-3, 7).

• m = 1
• x₁ = -3, y₁ =7

Substitute the given values into the formula and simplify.

`\implies y-7=1(x-(-3))`

`\implies y-7=1(x+3)`