Multiply. Write answers in simplest form

Mathematics

1 answer:

egoroff_w [7]4 years ago

8 0

First, change the mixed number into an improper fraction : 1 3/4 = 7/4
Then, write -7 as an improper fraction. You now have this expression:

-7/1 x 7/4.

Multiply each numerator and denominator, and you get your answer: -49/4, which reduces to -12 and 1/4, or -12.25

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$y = -\frac{5}{4} x+5$

Step-by-step explanation:

1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of those points into it, then simplify:

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2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.

3) Substitute values for $m$ and $b$ in the slope-intercept formula, $y = mx + b$ , to write the equation of the line. Since $m$ represents the slope, substitute $-\frac{5}{4}$ for it. Since $b$ represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form: