Find an equation of the line, in slope intercept form that passes through the given point and has the specified slope.

Question

point (-3,3) and slope (m)=0

Answer 1

y - 3 = 0(x + 3)

y - 3 = 0

y = 3

QED

Answer 2

Hello, Mona,

The general form of an equation for a straight line is y = mx + b, where b is the y-intercept and m is the slope.

Given slope = 0, this is a straight line with a y-intercept of 3. y = 3

b must be equal to 3, since the value of y is independent of x. That's what "slope" is telling us. It says that regardless of what value of x is used, y will not be impacted, since mx = (0) y = 0 + b; y = b: Y is always equal to b, regardless of x. So we can use (-3,3) and know that the y value of 3 will be valid for all x, including the y-intercept.

Bob