What is an equation of the line that passes through the points (0,7) and (5,4? Put your answer in fully reduced form.

Answer (assuming it can be in slope-intercept format):

Step-by-step explanation:

When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or .

1) First, find the slope of the equation. Use the slope formula, , to find the slope. Substitute the x and y values of the given points into the formula and simplify:

Thus, the slope is .

2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation  . Substitute and for real values.

Since represents the slope, substitute  in its place in the equation. Since represents the y-intercept, substitute 7 in its place. This gives the following equation and

step-by-step explanation: