Which equation represents a line that has a slope of −2/3 and a y-intercept of 4?

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

answer: 5

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.