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1 year ago

Find the intercepts of y=−7x+3

Mathematics

1 answer:

fenix001 [56]1 year ago

7 0

Answer:

X-intercepts:

$(\frac{3}{7} ,0)$

Y-intercepts:(0,3)

Step-by-step explanation:

Hello!

given expression

$y = - 7x + 3$

x-intercept is the point on the graph where y=0

solve

$- 7x + 3 = 0 \\ - 7x = - 3 \\ x = \frac{3}{7}$

Thus, x-intercept

$( \frac{3}{7} ,0)$

y-intercept is the point on the graph where x=0

solve

$y = - 7(0) + 3 \\ y = 0 + 3 \\ y = 3$

Thus, y-intercept (0,3)

Hope it helps!

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3 years ago

Find j(3x^4y^7) if j(n)=n^3

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Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-(4*y-7)=0

STEP

Equation of a Straight Line

1.1 Solve 3x-4y+7 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y+7 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/4 so this line "cuts" the y axis at y= 1.75000

y-intercept = 7/4 = 1.75000

Calculate the X-Intercept :

When y = 0 the value of x is -7/3 Our line therefore "cuts" the x axis at x=-2.33333

x-intercept = -7/3 = -2.33333

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.750 and for x=2.000, the value of y is 3.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.250 - 1.750 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 1.500/2.000 = 0.750

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

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