Question

Antoinette needs to solve this system of equations by graphing. Which statements explain how she should graph
equations? Check all that apply.
2x-7y=56
y=-2.5x+4
She should rewrite both equations in slope-intercept form.
She should rewrite the first equation in slope-intercept form.
She should find that the second equation has a slope of 4.
When rewriting the first equation, she should subtract 2x from each side of the equation to get -7y by itself.
After rewriting the first equation in slope-intercept form, she should find that both lines have negative slopes.

Answer 1

The statement second "She should rewrite the first equation in slope-intercept form." and statement fourth"After rewriting the first equation in slope-intercept form, she should find that both lines have negative slopes.." are correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

The system of equations are:

2x - 7y = 56 ..(1)

y = -2.5x + 4 ..(2)

Equation (2) is in the form of slope-intercept

Equation (1) needs to change in slope-intercept form.

When rewriting the first equation, she should subtract 2x from each side of the equation to get -7y by itself.

Thus, the statement second "She should rewrite the first equation in slope-intercept form." and statement fourth"After rewriting the first equation in slope-intercept form, she should find that both lines have negative slopes.." are correct.

Learn more about the straight line here:

brainly.com/question/3493733

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