What is the slope and y-intercept of -4,-10

Please be careful to type exactly what your question is. Could you possibly mean the equation

y = -4 x - 10 ????

in that case the slope would be - 4 and when x = 0 the line hits y = -10 so the y intercept is -10

no the question is what is the slope and y-intercept of the line in part b? and part b gives the equation y=-2/3x-12

then tells you that they may want to make repairs could you place it at the point (-4,10)on the graph.

Oh, ok sure if the equation is

y = -(2/3)x - 12
the slope is -2/3
when x = 0, y = -12 so -12 is the y intercept
when y = 0, x = -18 so that is the x intercept
now if the point (-4,10) is on the line then:
10 = -(2/3)(-4) - 12 ???
10 = 8/3 - 12 no way, not on the line

To find the slope and y-intercept of a line, we need to use the equation of a line which is given as y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, we are given a point (-4, -10). We can use this point to find the slope and y-intercept of the line passing through it.

Step 1: Recall that the slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula: m = (y₂ - y₁) / (x₂ - x₁).

Step 2: Substitute the given point (-4, -10) as (x₁, y₁) in the formula.

m = (y₂ - (-10)) / (x₂ - (-4))

Step 3: Since we have only one point (-4, -10), we cannot determine the slope of the line without another point.

Therefore, we cannot directly find the slope and y-intercept of the line passing through (-4, -10) without additional information.